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Finding the Third Proportional to 313,695 and 486,423

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Solution

The third proportional to 313,695 and 486,423 is: 754,259.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,695 : 486,423 = 486,423 : x
  2. Step 2: Convert to fraction form
    313,695/486,423 = 486,423/x
  3. Step 3: Cross multiply
    313,695x = 486,423 × 486,423
  4. Step 4: Simplify right side
    313,695x = 236,607,334,929
  5. Step 5: Solve for x
    x = 236,607,334,929/313,695
  6. Step 6: Final answer
    x = 754,259.18

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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.