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Finding the Third Proportional to 516,339 and 725,832

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Solution

The third proportional to 516,339 and 725,832 is: 1,020,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,339 : 725,832 = 725,832 : x
  2. Step 2: Convert to fraction form
    516,339/725,832 = 725,832/x
  3. Step 3: Cross multiply
    516,339x = 725,832 × 725,832
  4. Step 4: Simplify right side
    516,339x = 526,832,092,224
  5. Step 5: Solve for x
    x = 526,832,092,224/516,339
  6. Step 6: Final answer
    x = 1,020,322.10

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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.