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Finding the Third Proportional to 463,854 and 676,098

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Solution

The third proportional to 463,854 and 676,098 is: 985,457.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,854 : 676,098 = 676,098 : x
  2. Step 2: Convert to fraction form
    463,854/676,098 = 676,098/x
  3. Step 3: Cross multiply
    463,854x = 676,098 × 676,098
  4. Step 4: Simplify right side
    463,854x = 457,108,505,604
  5. Step 5: Solve for x
    x = 457,108,505,604/463,854
  6. Step 6: Final answer
    x = 985,457.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.