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Finding the Third Proportional to 508,612 and 769,464

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Solution

The third proportional to 508,612 and 769,464 is: 1,164,099.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,612 : 769,464 = 769,464 : x
  2. Step 2: Convert to fraction form
    508,612/769,464 = 769,464/x
  3. Step 3: Cross multiply
    508,612x = 769,464 × 769,464
  4. Step 4: Simplify right side
    508,612x = 592,074,847,296
  5. Step 5: Solve for x
    x = 592,074,847,296/508,612
  6. Step 6: Final answer
    x = 1,164,099.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.