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Finding the Third Proportional to 330,463.50 and 708,870

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Solution

The third proportional to 330,463.50 and 708,870 is: 1,520,581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,463.50 : 708,870 = 708,870 : x
  2. Step 2: Convert to fraction form
    330,463.50/708,870 = 708,870/x
  3. Step 3: Cross multiply
    330,463.50x = 708,870 × 708,870
  4. Step 4: Simplify right side
    330,463.50x = 502,496,676,900
  5. Step 5: Solve for x
    x = 502,496,676,900/330,463.50
  6. Step 6: Final answer
    x = 1,520,581.48

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