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Finding the Third Proportional to 725,734.69 and 1,152,753.19

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Solution

The third proportional to 725,734.69 and 1,152,753.19 is: 1,831,027.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,734.69 : 1,152,753.19 = 1,152,753.19 : x
  2. Step 2: Convert to fraction form
    725,734.69/1,152,753.19 = 1,152,753.19/x
  3. Step 3: Cross multiply
    725,734.69x = 1,152,753.19 × 1,152,753.19
  4. Step 4: Simplify right side
    725,734.69x = 1,328,839,911,291.41
  5. Step 5: Solve for x
    x = 1,328,839,911,291.41/725,734.69
  6. Step 6: Final answer
    x = 1,831,027.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.