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Finding the Third Proportional to 729,165 and 1,141,240.50

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Solution

The third proportional to 729,165 and 1,141,240.50 is: 1,786,193.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,165 : 1,141,240.50 = 1,141,240.50 : x
  2. Step 2: Convert to fraction form
    729,165/1,141,240.50 = 1,141,240.50/x
  3. Step 3: Cross multiply
    729,165x = 1,141,240.50 × 1,141,240.50
  4. Step 4: Simplify right side
    729,165x = 1,302,429,878,840.25
  5. Step 5: Solve for x
    x = 1,302,429,878,840.25/729,165
  6. Step 6: Final answer
    x = 1,786,193.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.