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Finding the Third Proportional to 292,279.50 and 438,459.75

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Solution

The third proportional to 292,279.50 and 438,459.75 is: 657,750.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,279.50 : 438,459.75 = 438,459.75 : x
  2. Step 2: Convert to fraction form
    292,279.50/438,459.75 = 438,459.75/x
  3. Step 3: Cross multiply
    292,279.50x = 438,459.75 × 438,459.75
  4. Step 4: Simplify right side
    292,279.50x = 192,246,952,370.06
  5. Step 5: Solve for x
    x = 192,246,952,370.06/292,279.50
  6. Step 6: Final answer
    x = 657,750.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.