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Finding the Third Proportional to 455,471 and 723,757

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Solution

The third proportional to 455,471 and 723,757 is: 1,150,071.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,471 : 723,757 = 723,757 : x
  2. Step 2: Convert to fraction form
    455,471/723,757 = 723,757/x
  3. Step 3: Cross multiply
    455,471x = 723,757 × 723,757
  4. Step 4: Simplify right side
    455,471x = 523,824,195,049
  5. Step 5: Solve for x
    x = 523,824,195,049/455,471
  6. Step 6: Final answer
    x = 1,150,071.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.