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Finding the Third Proportional to 217,377 and 463,642.50

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Solution

The third proportional to 217,377 and 463,642.50 is: 988,901.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,377 : 463,642.50 = 463,642.50 : x
  2. Step 2: Convert to fraction form
    217,377/463,642.50 = 463,642.50/x
  3. Step 3: Cross multiply
    217,377x = 463,642.50 × 463,642.50
  4. Step 4: Simplify right side
    217,377x = 214,964,367,806.25
  5. Step 5: Solve for x
    x = 214,964,367,806.25/217,377
  6. Step 6: Final answer
    x = 988,901.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.