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Finding the Third Proportional to 357,436.13 and 785,710.13

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Solution

The third proportional to 357,436.13 and 785,710.13 is: 1,727,134.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,436.13 : 785,710.13 = 785,710.13 : x
  2. Step 2: Convert to fraction form
    357,436.13/785,710.13 = 785,710.13/x
  3. Step 3: Cross multiply
    357,436.13x = 785,710.13 × 785,710.13
  4. Step 4: Simplify right side
    357,436.13x = 617,340,400,527.52
  5. Step 5: Solve for x
    x = 617,340,400,527.52/357,436.13
  6. Step 6: Final answer
    x = 1,727,134.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.