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Finding the Third Proportional to 568,730 and 854,553

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Solution

The third proportional to 568,730 and 854,553 is: 1,284,020.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,730 : 854,553 = 854,553 : x
  2. Step 2: Convert to fraction form
    568,730/854,553 = 854,553/x
  3. Step 3: Cross multiply
    568,730x = 854,553 × 854,553
  4. Step 4: Simplify right side
    568,730x = 730,260,829,809
  5. Step 5: Solve for x
    x = 730,260,829,809/568,730
  6. Step 6: Final answer
    x = 1,284,020.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.