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Finding the Third Proportional to 472,549 and 726,320

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Solution

The third proportional to 472,549 and 726,320 is: 1,116,372.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,549 : 726,320 = 726,320 : x
  2. Step 2: Convert to fraction form
    472,549/726,320 = 726,320/x
  3. Step 3: Cross multiply
    472,549x = 726,320 × 726,320
  4. Step 4: Simplify right side
    472,549x = 527,540,742,400
  5. Step 5: Solve for x
    x = 527,540,742,400/472,549
  6. Step 6: Final answer
    x = 1,116,372.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.