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Finding the Third Proportional to 278,940 and 572,581.50

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Solution

The third proportional to 278,940 and 572,581.50 is: 1,175,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,940 : 572,581.50 = 572,581.50 : x
  2. Step 2: Convert to fraction form
    278,940/572,581.50 = 572,581.50/x
  3. Step 3: Cross multiply
    278,940x = 572,581.50 × 572,581.50
  4. Step 4: Simplify right side
    278,940x = 327,849,574,142.25
  5. Step 5: Solve for x
    x = 327,849,574,142.25/278,940
  6. Step 6: Final answer
    x = 1,175,340.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.