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Finding the Third Proportional to 407,108 and 868,320

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Solution

The third proportional to 407,108 and 868,320 is: 1,852,038.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,108 : 868,320 = 868,320 : x
  2. Step 2: Convert to fraction form
    407,108/868,320 = 868,320/x
  3. Step 3: Cross multiply
    407,108x = 868,320 × 868,320
  4. Step 4: Simplify right side
    407,108x = 753,979,622,400
  5. Step 5: Solve for x
    x = 753,979,622,400/407,108
  6. Step 6: Final answer
    x = 1,852,038.33

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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.