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Finding the Third Proportional to 191,297 and 418,957

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Solution

The third proportional to 191,297 and 418,957 is: 917,552.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,297 : 418,957 = 418,957 : x
  2. Step 2: Convert to fraction form
    191,297/418,957 = 418,957/x
  3. Step 3: Cross multiply
    191,297x = 418,957 × 418,957
  4. Step 4: Simplify right side
    191,297x = 175,524,967,849
  5. Step 5: Solve for x
    x = 175,524,967,849/191,297
  6. Step 6: Final answer
    x = 917,552.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.