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Finding the Third Proportional to 278,107.50 and 595,581

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Solution

The third proportional to 278,107.50 and 595,581 is: 1,275,466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,107.50 : 595,581 = 595,581 : x
  2. Step 2: Convert to fraction form
    278,107.50/595,581 = 595,581/x
  3. Step 3: Cross multiply
    278,107.50x = 595,581 × 595,581
  4. Step 4: Simplify right side
    278,107.50x = 354,716,727,561
  5. Step 5: Solve for x
    x = 354,716,727,561/278,107.50
  6. Step 6: Final answer
    x = 1,275,466.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.