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Finding the Third Proportional to 727,373.50 and 1,580,651

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Solution

The third proportional to 727,373.50 and 1,580,651 is: 3,434,903.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,373.50 : 1,580,651 = 1,580,651 : x
  2. Step 2: Convert to fraction form
    727,373.50/1,580,651 = 1,580,651/x
  3. Step 3: Cross multiply
    727,373.50x = 1,580,651 × 1,580,651
  4. Step 4: Simplify right side
    727,373.50x = 2,498,457,583,801
  5. Step 5: Solve for x
    x = 2,498,457,583,801/727,373.50
  6. Step 6: Final answer
    x = 3,434,903.23

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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.