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Finding the Third Proportional to 465,630,558.75 and 730,437,279.75

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Solution

The third proportional to 465,630,558.75 and 730,437,279.75 is: 1,145,841,074.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,630,558.75 : 730,437,279.75 = 730,437,279.75 : x
  2. Step 2: Convert to fraction form
    465,630,558.75/730,437,279.75 = 730,437,279.75/x
  3. Step 3: Cross multiply
    465,630,558.75x = 730,437,279.75 × 730,437,279.75
  4. Step 4: Simplify right side
    465,630,558.75x = 533,538,619,648,579,776
  5. Step 5: Solve for x
    x = 533,538,619,648,579,776/465,630,558.75
  6. Step 6: Final answer
    x = 1,145,841,074.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.