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Finding the Third Proportional to 207,951 and 314,862

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Solution

The third proportional to 207,951 and 314,862 is: 476,737.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,951 : 314,862 = 314,862 : x
  2. Step 2: Convert to fraction form
    207,951/314,862 = 314,862/x
  3. Step 3: Cross multiply
    207,951x = 314,862 × 314,862
  4. Step 4: Simplify right side
    207,951x = 99,138,079,044
  5. Step 5: Solve for x
    x = 99,138,079,044/207,951
  6. Step 6: Final answer
    x = 476,737.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.