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Finding the Third Proportional to 502.93 and 777.17

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Solution

The third proportional to 502.93 and 777.17 is: 1,200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.93 : 777.17 = 777.17 : x
  2. Step 2: Convert to fraction form
    502.93/777.17 = 777.17/x
  3. Step 3: Cross multiply
    502.93x = 777.17 × 777.17
  4. Step 4: Simplify right side
    502.93x = 603,997.64
  5. Step 5: Solve for x
    x = 603,997.64/502.93
  6. Step 6: Final answer
    x = 1,200.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.