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Finding the Third Proportional to 330,466 and 708,874

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Solution

The third proportional to 330,466 and 708,874 is: 1,520,587.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,466 : 708,874 = 708,874 : x
  2. Step 2: Convert to fraction form
    330,466/708,874 = 708,874/x
  3. Step 3: Cross multiply
    330,466x = 708,874 × 708,874
  4. Step 4: Simplify right side
    330,466x = 502,502,347,876
  5. Step 5: Solve for x
    x = 502,502,347,876/330,466
  6. Step 6: Final answer
    x = 1,520,587.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.