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Finding the Third Proportional to 516,337.88 and 725,829.19

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Solution

The third proportional to 516,337.88 and 725,829.19 is: 1,020,316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,337.88 : 725,829.19 = 725,829.19 : x
  2. Step 2: Convert to fraction form
    516,337.88/725,829.19 = 725,829.19/x
  3. Step 3: Cross multiply
    516,337.88x = 725,829.19 × 725,829.19
  4. Step 4: Simplify right side
    516,337.88x = 526,828,009,426.91
  5. Step 5: Solve for x
    x = 526,828,009,426.91/516,337.88
  6. Step 6: Final answer
    x = 1,020,316.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.