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Finding the Third Proportional to 314,938.13 and 472,407.19

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Solution

The third proportional to 314,938.13 and 472,407.19 is: 708,610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,938.13 : 472,407.19 = 472,407.19 : x
  2. Step 2: Convert to fraction form
    314,938.13/472,407.19 = 472,407.19/x
  3. Step 3: Cross multiply
    314,938.13x = 472,407.19 × 472,407.19
  4. Step 4: Simplify right side
    314,938.13x = 223,168,550,801.66
  5. Step 5: Solve for x
    x = 223,168,550,801.66/314,938.13
  6. Step 6: Final answer
    x = 708,610.78

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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.