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Finding the Third Proportional to 472,544 and 726,312

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Solution

The third proportional to 472,544 and 726,312 is: 1,116,359.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,544 : 726,312 = 726,312 : x
  2. Step 2: Convert to fraction form
    472,544/726,312 = 726,312/x
  3. Step 3: Cross multiply
    472,544x = 726,312 × 726,312
  4. Step 4: Simplify right side
    472,544x = 527,529,121,344
  5. Step 5: Solve for x
    x = 527,529,121,344/472,544
  6. Step 6: Final answer
    x = 1,116,359.79

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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.