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Finding the Third Proportional to 727,376.50 and 1,580,657

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Solution

The third proportional to 727,376.50 and 1,580,657 is: 3,434,915.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,376.50 : 1,580,657 = 1,580,657 : x
  2. Step 2: Convert to fraction form
    727,376.50/1,580,657 = 1,580,657/x
  3. Step 3: Cross multiply
    727,376.50x = 1,580,657 × 1,580,657
  4. Step 4: Simplify right side
    727,376.50x = 2,498,476,551,649
  5. Step 5: Solve for x
    x = 2,498,476,551,649/727,376.50
  6. Step 6: Final answer
    x = 3,434,915.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.