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Finding the Third Proportional to 285,716 and 452,032

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Solution

The third proportional to 285,716 and 452,032 is: 715,160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,716 : 452,032 = 452,032 : x
  2. Step 2: Convert to fraction form
    285,716/452,032 = 452,032/x
  3. Step 3: Cross multiply
    285,716x = 452,032 × 452,032
  4. Step 4: Simplify right side
    285,716x = 204,332,929,024
  5. Step 5: Solve for x
    x = 204,332,929,024/285,716
  6. Step 6: Final answer
    x = 715,160.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.