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Finding the Third Proportional to 499,347 and 706,561

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Solution

The third proportional to 499,347 and 706,561 is: 999,762.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,347 : 706,561 = 706,561 : x
  2. Step 2: Convert to fraction form
    499,347/706,561 = 706,561/x
  3. Step 3: Cross multiply
    499,347x = 706,561 × 706,561
  4. Step 4: Simplify right side
    499,347x = 499,228,446,721
  5. Step 5: Solve for x
    x = 499,228,446,721/499,347
  6. Step 6: Final answer
    x = 999,762.58

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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.