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Finding the Third Proportional to 285,712 and 452,026

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Solution

The third proportional to 285,712 and 452,026 is: 715,151.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,712 : 452,026 = 452,026 : x
  2. Step 2: Convert to fraction form
    285,712/452,026 = 452,026/x
  3. Step 3: Cross multiply
    285,712x = 452,026 × 452,026
  4. Step 4: Simplify right side
    285,712x = 204,327,504,676
  5. Step 5: Solve for x
    x = 204,327,504,676/285,712
  6. Step 6: Final answer
    x = 715,151.99

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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.