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Finding the Third Proportional to 521.88 and 977.88

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Solution

The third proportional to 521.88 and 977.88 is: 1,832.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.88 : 977.88 = 977.88 : x
  2. Step 2: Convert to fraction form
    521.88/977.88 = 977.88/x
  3. Step 3: Cross multiply
    521.88x = 977.88 × 977.88
  4. Step 4: Simplify right side
    521.88x = 956,239.52
  5. Step 5: Solve for x
    x = 956,239.52/521.88
  6. Step 6: Final answer
    x = 1,832.32

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.