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Finding the Third Proportional to 407,152 and 868,404

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Solution

The third proportional to 407,152 and 868,404 is: 1,852,196.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,152 : 868,404 = 868,404 : x
  2. Step 2: Convert to fraction form
    407,152/868,404 = 868,404/x
  3. Step 3: Cross multiply
    407,152x = 868,404 × 868,404
  4. Step 4: Simplify right side
    407,152x = 754,125,507,216
  5. Step 5: Solve for x
    x = 754,125,507,216/407,152
  6. Step 6: Final answer
    x = 1,852,196.49

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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.