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Finding the Third Proportional to 243,709 and 534,501

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Solution

The third proportional to 243,709 and 534,501 is: 1,172,264.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,709 : 534,501 = 534,501 : x
  2. Step 2: Convert to fraction form
    243,709/534,501 = 534,501/x
  3. Step 3: Cross multiply
    243,709x = 534,501 × 534,501
  4. Step 4: Simplify right side
    243,709x = 285,691,319,001
  5. Step 5: Solve for x
    x = 285,691,319,001/243,709
  6. Step 6: Final answer
    x = 1,172,264.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.