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Finding the Third Proportional to 316,524.75 and 732,126

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Solution

The third proportional to 316,524.75 and 732,126 is: 1,693,417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,524.75 : 732,126 = 732,126 : x
  2. Step 2: Convert to fraction form
    316,524.75/732,126 = 732,126/x
  3. Step 3: Cross multiply
    316,524.75x = 732,126 × 732,126
  4. Step 4: Simplify right side
    316,524.75x = 536,008,479,876
  5. Step 5: Solve for x
    x = 536,008,479,876/316,524.75
  6. Step 6: Final answer
    x = 1,693,417.28

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.