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Finding the Third Proportional to 217,899.50 and 474,382

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Solution

The third proportional to 217,899.50 and 474,382 is: 1,032,761.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,899.50 : 474,382 = 474,382 : x
  2. Step 2: Convert to fraction form
    217,899.50/474,382 = 474,382/x
  3. Step 3: Cross multiply
    217,899.50x = 474,382 × 474,382
  4. Step 4: Simplify right side
    217,899.50x = 225,038,281,924
  5. Step 5: Solve for x
    x = 225,038,281,924/217,899.50
  6. Step 6: Final answer
    x = 1,032,761.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.