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Finding the Third Proportional to 472,633 and 726,471

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Solution

The third proportional to 472,633 and 726,471 is: 1,116,638.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,633 : 726,471 = 726,471 : x
  2. Step 2: Convert to fraction form
    472,633/726,471 = 726,471/x
  3. Step 3: Cross multiply
    472,633x = 726,471 × 726,471
  4. Step 4: Simplify right side
    472,633x = 527,760,113,841
  5. Step 5: Solve for x
    x = 527,760,113,841/472,633
  6. Step 6: Final answer
    x = 1,116,638.31

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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.