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Finding the Third Proportional to 330,460 and 708,892

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Solution

The third proportional to 330,460 and 708,892 is: 1,520,691.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,460 : 708,892 = 708,892 : x
  2. Step 2: Convert to fraction form
    330,460/708,892 = 708,892/x
  3. Step 3: Cross multiply
    330,460x = 708,892 × 708,892
  4. Step 4: Simplify right side
    330,460x = 502,527,867,664
  5. Step 5: Solve for x
    x = 502,527,867,664/330,460
  6. Step 6: Final answer
    x = 1,520,691.97

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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.