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Finding the Third Proportional to 472,848 and 709,744

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Solution

The third proportional to 472,848 and 709,744 is: 1,065,324.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,848 : 709,744 = 709,744 : x
  2. Step 2: Convert to fraction form
    472,848/709,744 = 709,744/x
  3. Step 3: Cross multiply
    472,848x = 709,744 × 709,744
  4. Step 4: Simplify right side
    472,848x = 503,736,545,536
  5. Step 5: Solve for x
    x = 503,736,545,536/472,848
  6. Step 6: Final answer
    x = 1,065,324.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.