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Finding the Third Proportional to 360,073.75 and 775,915.75

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Solution

The third proportional to 360,073.75 and 775,915.75 is: 1,672,005.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,073.75 : 775,915.75 = 775,915.75 : x
  2. Step 2: Convert to fraction form
    360,073.75/775,915.75 = 775,915.75/x
  3. Step 3: Cross multiply
    360,073.75x = 775,915.75 × 775,915.75
  4. Step 4: Simplify right side
    360,073.75x = 602,045,251,098.06
  5. Step 5: Solve for x
    x = 602,045,251,098.06/360,073.75
  6. Step 6: Final answer
    x = 1,672,005.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.