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Finding the Third Proportional to 310.50 and 572.91

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Solution

The third proportional to 310.50 and 572.91 is: 1,057.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.50 : 572.91 = 572.91 : x
  2. Step 2: Convert to fraction form
    310.50/572.91 = 572.91/x
  3. Step 3: Cross multiply
    310.50x = 572.91 × 572.91
  4. Step 4: Simplify right side
    310.50x = 328,221.57
  5. Step 5: Solve for x
    x = 328,221.57/310.50
  6. Step 6: Final answer
    x = 1,057.07

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.