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Finding the Third Proportional to 497,744 and 768,624

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Solution

The third proportional to 497,744 and 768,624 is: 1,186,921.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,744 : 768,624 = 768,624 : x
  2. Step 2: Convert to fraction form
    497,744/768,624 = 768,624/x
  3. Step 3: Cross multiply
    497,744x = 768,624 × 768,624
  4. Step 4: Simplify right side
    497,744x = 590,782,853,376
  5. Step 5: Solve for x
    x = 590,782,853,376/497,744
  6. Step 6: Final answer
    x = 1,186,921.09

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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.