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Finding the Third Proportional to 247,621 and 534,650

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Solution

The third proportional to 247,621 and 534,650 is: 1,154,387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,621 : 534,650 = 534,650 : x
  2. Step 2: Convert to fraction form
    247,621/534,650 = 534,650/x
  3. Step 3: Cross multiply
    247,621x = 534,650 × 534,650
  4. Step 4: Simplify right side
    247,621x = 285,850,622,500
  5. Step 5: Solve for x
    x = 285,850,622,500/247,621
  6. Step 6: Final answer
    x = 1,154,387.64

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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.