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Finding the Third Proportional to 655,186.50 and 1,432,548

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Solution

The third proportional to 655,186.50 and 1,432,548 is: 3,132,228.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,186.50 : 1,432,548 = 1,432,548 : x
  2. Step 2: Convert to fraction form
    655,186.50/1,432,548 = 1,432,548/x
  3. Step 3: Cross multiply
    655,186.50x = 1,432,548 × 1,432,548
  4. Step 4: Simplify right side
    655,186.50x = 2,052,193,772,304
  5. Step 5: Solve for x
    x = 2,052,193,772,304/655,186.50
  6. Step 6: Final answer
    x = 3,132,228.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.