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Finding the Third Proportional to 657,352.13 and 983,414.25

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Solution

The third proportional to 657,352.13 and 983,414.25 is: 1,471,210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,352.13 : 983,414.25 = 983,414.25 : x
  2. Step 2: Convert to fraction form
    657,352.13/983,414.25 = 983,414.25/x
  3. Step 3: Cross multiply
    657,352.13x = 983,414.25 × 983,414.25
  4. Step 4: Simplify right side
    657,352.13x = 967,103,587,103.06
  5. Step 5: Solve for x
    x = 967,103,587,103.06/657,352.13
  6. Step 6: Final answer
    x = 1,471,210.86

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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.