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Finding the Third Proportional to 230,654 and 506,748

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Solution

The third proportional to 230,654 and 506,748 is: 1,113,327.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,654 : 506,748 = 506,748 : x
  2. Step 2: Convert to fraction form
    230,654/506,748 = 506,748/x
  3. Step 3: Cross multiply
    230,654x = 506,748 × 506,748
  4. Step 4: Simplify right side
    230,654x = 256,793,535,504
  5. Step 5: Solve for x
    x = 256,793,535,504/230,654
  6. Step 6: Final answer
    x = 1,113,327.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.