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Finding the Third Proportional to 562.92 and 1,209.09

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Solution

The third proportional to 562.92 and 1,209.09 is: 2,597.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.92 : 1,209.09 = 1,209.09 : x
  2. Step 2: Convert to fraction form
    562.92/1,209.09 = 1,209.09/x
  3. Step 3: Cross multiply
    562.92x = 1,209.09 × 1,209.09
  4. Step 4: Simplify right side
    562.92x = 1,461,907.70
  5. Step 5: Solve for x
    x = 1,461,907.70/562.92
  6. Step 6: Final answer
    x = 2,597.00

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Why These Related Problems?

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