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Finding the Third Proportional to 259.88 and 572.91

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Solution

The third proportional to 259.88 and 572.91 is: 1,263.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.88 : 572.91 = 572.91 : x
  2. Step 2: Convert to fraction form
    259.88/572.91 = 572.91/x
  3. Step 3: Cross multiply
    259.88x = 572.91 × 572.91
  4. Step 4: Simplify right side
    259.88x = 328,221.57
  5. Step 5: Solve for x
    x = 328,221.57/259.88
  6. Step 6: Final answer
    x = 1,263.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.