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Finding the Third Proportional to 472,520 and 726,280

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Solution

The third proportional to 472,520 and 726,280 is: 1,116,318.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,520 : 726,280 = 726,280 : x
  2. Step 2: Convert to fraction form
    472,520/726,280 = 726,280/x
  3. Step 3: Cross multiply
    472,520x = 726,280 × 726,280
  4. Step 4: Simplify right side
    472,520x = 527,482,638,400
  5. Step 5: Solve for x
    x = 527,482,638,400/472,520
  6. Step 6: Final answer
    x = 1,116,318.12

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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.