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Finding the Third Proportional to 438,314.63 and 700,201.13

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Solution

The third proportional to 438,314.63 and 700,201.13 is: 1,118,560.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,314.63 : 700,201.13 = 700,201.13 : x
  2. Step 2: Convert to fraction form
    438,314.63/700,201.13 = 700,201.13/x
  3. Step 3: Cross multiply
    438,314.63x = 700,201.13 × 700,201.13
  4. Step 4: Simplify right side
    438,314.63x = 490,281,615,451.27
  5. Step 5: Solve for x
    x = 490,281,615,451.27/438,314.63
  6. Step 6: Final answer
    x = 1,118,560.93

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.