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Finding the Third Proportional to 369.13 and 567.88

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Solution

The third proportional to 369.13 and 567.88 is: 873.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.13 : 567.88 = 567.88 : x
  2. Step 2: Convert to fraction form
    369.13/567.88 = 567.88/x
  3. Step 3: Cross multiply
    369.13x = 567.88 × 567.88
  4. Step 4: Simplify right side
    369.13x = 322,482.02
  5. Step 5: Solve for x
    x = 322,482.02/369.13
  6. Step 6: Final answer
    x = 873.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.