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Finding the Third Proportional to 467,820 and 723,780

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Solution

The third proportional to 467,820 and 723,780 is: 1,119,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,820 : 723,780 = 723,780 : x
  2. Step 2: Convert to fraction form
    467,820/723,780 = 723,780/x
  3. Step 3: Cross multiply
    467,820x = 723,780 × 723,780
  4. Step 4: Simplify right side
    467,820x = 523,857,488,400
  5. Step 5: Solve for x
    x = 523,857,488,400/467,820
  6. Step 6: Final answer
    x = 1,119,784.29

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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.