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Finding the Third Proportional to 762,288 and 1,505,292

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Solution

The third proportional to 762,288 and 1,505,292 is: 2,972,503.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,288 : 1,505,292 = 1,505,292 : x
  2. Step 2: Convert to fraction form
    762,288/1,505,292 = 1,505,292/x
  3. Step 3: Cross multiply
    762,288x = 1,505,292 × 1,505,292
  4. Step 4: Simplify right side
    762,288x = 2,265,904,005,264
  5. Step 5: Solve for x
    x = 2,265,904,005,264/762,288
  6. Step 6: Final answer
    x = 2,972,503.84

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.