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Finding the Third Proportional to 468,840 and 726,426

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Solution

The third proportional to 468,840 and 726,426 is: 1,125,532.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,840 : 726,426 = 726,426 : x
  2. Step 2: Convert to fraction form
    468,840/726,426 = 726,426/x
  3. Step 3: Cross multiply
    468,840x = 726,426 × 726,426
  4. Step 4: Simplify right side
    468,840x = 527,694,733,476
  5. Step 5: Solve for x
    x = 527,694,733,476/468,840
  6. Step 6: Final answer
    x = 1,125,532.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.