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Finding the Third Proportional to 468,655.88 and 709,549.88

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Solution

The third proportional to 468,655.88 and 709,549.88 is: 1,074,265.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,655.88 : 709,549.88 = 709,549.88 : x
  2. Step 2: Convert to fraction form
    468,655.88/709,549.88 = 709,549.88/x
  3. Step 3: Cross multiply
    468,655.88x = 709,549.88 × 709,549.88
  4. Step 4: Simplify right side
    468,655.88x = 503,461,025,112.52
  5. Step 5: Solve for x
    x = 503,461,025,112.52/468,655.88
  6. Step 6: Final answer
    x = 1,074,265.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.