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Finding the Third Proportional to 402,576 and 868,206

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Solution

The third proportional to 402,576 and 868,206 is: 1,872,395.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,576 : 868,206 = 868,206 : x
  2. Step 2: Convert to fraction form
    402,576/868,206 = 868,206/x
  3. Step 3: Cross multiply
    402,576x = 868,206 × 868,206
  4. Step 4: Simplify right side
    402,576x = 753,781,658,436
  5. Step 5: Solve for x
    x = 753,781,658,436/402,576
  6. Step 6: Final answer
    x = 1,872,395.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.