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Finding the Third Proportional to 232,934 and 499,072

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Solution

The third proportional to 232,934 and 499,072 is: 1,069,285.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,934 : 499,072 = 499,072 : x
  2. Step 2: Convert to fraction form
    232,934/499,072 = 499,072/x
  3. Step 3: Cross multiply
    232,934x = 499,072 × 499,072
  4. Step 4: Simplify right side
    232,934x = 249,072,861,184
  5. Step 5: Solve for x
    x = 249,072,861,184/232,934
  6. Step 6: Final answer
    x = 1,069,285.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.