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Finding the Third Proportional to 407,201 and 868,482

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Solution

The third proportional to 407,201 and 868,482 is: 1,852,306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,201 : 868,482 = 868,482 : x
  2. Step 2: Convert to fraction form
    407,201/868,482 = 868,482/x
  3. Step 3: Cross multiply
    407,201x = 868,482 × 868,482
  4. Step 4: Simplify right side
    407,201x = 754,260,984,324
  5. Step 5: Solve for x
    x = 754,260,984,324/407,201
  6. Step 6: Final answer
    x = 1,852,306.32

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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.