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Finding the Third Proportional to 210,782 and 497,561

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Solution

The third proportional to 210,782 and 497,561 is: 1,174,516.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,782 : 497,561 = 497,561 : x
  2. Step 2: Convert to fraction form
    210,782/497,561 = 497,561/x
  3. Step 3: Cross multiply
    210,782x = 497,561 × 497,561
  4. Step 4: Simplify right side
    210,782x = 247,566,948,721
  5. Step 5: Solve for x
    x = 247,566,948,721/210,782
  6. Step 6: Final answer
    x = 1,174,516.56

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.