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Finding the Third Proportional to 247,623 and 534,654

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Solution

The third proportional to 247,623 and 534,654 is: 1,154,395.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,623 : 534,654 = 534,654 : x
  2. Step 2: Convert to fraction form
    247,623/534,654 = 534,654/x
  3. Step 3: Cross multiply
    247,623x = 534,654 × 534,654
  4. Step 4: Simplify right side
    247,623x = 285,854,899,716
  5. Step 5: Solve for x
    x = 285,854,899,716/247,623
  6. Step 6: Final answer
    x = 1,154,395.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.