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Finding the Third Proportional to 358,761 and 754,701

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Solution

The third proportional to 358,761 and 754,701 is: 1,587,612.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,761 : 754,701 = 754,701 : x
  2. Step 2: Convert to fraction form
    358,761/754,701 = 754,701/x
  3. Step 3: Cross multiply
    358,761x = 754,701 × 754,701
  4. Step 4: Simplify right side
    358,761x = 569,573,599,401
  5. Step 5: Solve for x
    x = 569,573,599,401/358,761
  6. Step 6: Final answer
    x = 1,587,612.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.