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Finding the Third Proportional to 568.90 and 730.16

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Solution

The third proportional to 568.90 and 730.16 is: 937.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.90 : 730.16 = 730.16 : x
  2. Step 2: Convert to fraction form
    568.90/730.16 = 730.16/x
  3. Step 3: Cross multiply
    568.90x = 730.16 × 730.16
  4. Step 4: Simplify right side
    568.90x = 533,133.85
  5. Step 5: Solve for x
    x = 533,133.85/568.90
  6. Step 6: Final answer
    x = 937.13

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.