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Finding the Third Proportional to 684,299.25 and 1,000,446.75

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Solution

The third proportional to 684,299.25 and 1,000,446.75 is: 1,462,654.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,299.25 : 1,000,446.75 = 1,000,446.75 : x
  2. Step 2: Convert to fraction form
    684,299.25/1,000,446.75 = 1,000,446.75/x
  3. Step 3: Cross multiply
    684,299.25x = 1,000,446.75 × 1,000,446.75
  4. Step 4: Simplify right side
    684,299.25x = 1,000,893,699,585.56
  5. Step 5: Solve for x
    x = 1,000,893,699,585.56/684,299.25
  6. Step 6: Final answer
    x = 1,462,654.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.