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Finding the Third Proportional to 462,778 and 699,098

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Solution

The third proportional to 462,778 and 699,098 is: 1,056,096.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,778 : 699,098 = 699,098 : x
  2. Step 2: Convert to fraction form
    462,778/699,098 = 699,098/x
  3. Step 3: Cross multiply
    462,778x = 699,098 × 699,098
  4. Step 4: Simplify right side
    462,778x = 488,738,013,604
  5. Step 5: Solve for x
    x = 488,738,013,604/462,778
  6. Step 6: Final answer
    x = 1,056,096.04

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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.