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Finding the Third Proportional to 465,448 and 723,682

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Solution

The third proportional to 465,448 and 723,682 is: 1,125,186.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,448 : 723,682 = 723,682 : x
  2. Step 2: Convert to fraction form
    465,448/723,682 = 723,682/x
  3. Step 3: Cross multiply
    465,448x = 723,682 × 723,682
  4. Step 4: Simplify right side
    465,448x = 523,715,637,124
  5. Step 5: Solve for x
    x = 523,715,637,124/465,448
  6. Step 6: Final answer
    x = 1,125,186.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.