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Finding the Third Proportional to 287,973.56 and 628,354.13

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Solution

The third proportional to 287,973.56 and 628,354.13 is: 1,371,059.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,973.56 : 628,354.13 = 628,354.13 : x
  2. Step 2: Convert to fraction form
    287,973.56/628,354.13 = 628,354.13/x
  3. Step 3: Cross multiply
    287,973.56x = 628,354.13 × 628,354.13
  4. Step 4: Simplify right side
    287,973.56x = 394,828,906,404.52
  5. Step 5: Solve for x
    x = 394,828,906,404.52/287,973.56
  6. Step 6: Final answer
    x = 1,371,059.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.