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Finding the Third Proportional to 318,626 and 678,724

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Solution

The third proportional to 318,626 and 678,724 is: 1,445,789.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,626 : 678,724 = 678,724 : x
  2. Step 2: Convert to fraction form
    318,626/678,724 = 678,724/x
  3. Step 3: Cross multiply
    318,626x = 678,724 × 678,724
  4. Step 4: Simplify right side
    318,626x = 460,666,268,176
  5. Step 5: Solve for x
    x = 460,666,268,176/318,626
  6. Step 6: Final answer
    x = 1,445,789.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.