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Finding the Third Proportional to 468,834 and 726,417

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Solution

The third proportional to 468,834 and 726,417 is: 1,125,519.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,834 : 726,417 = 726,417 : x
  2. Step 2: Convert to fraction form
    468,834/726,417 = 726,417/x
  3. Step 3: Cross multiply
    468,834x = 726,417 × 726,417
  4. Step 4: Simplify right side
    468,834x = 527,681,657,889
  5. Step 5: Solve for x
    x = 527,681,657,889/468,834
  6. Step 6: Final answer
    x = 1,125,519.18

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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.