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Finding the Third Proportional to 767,523 and 1,151,373

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Solution

The third proportional to 767,523 and 1,151,373 is: 1,727,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,523 : 1,151,373 = 1,151,373 : x
  2. Step 2: Convert to fraction form
    767,523/1,151,373 = 1,151,373/x
  3. Step 3: Cross multiply
    767,523x = 1,151,373 × 1,151,373
  4. Step 4: Simplify right side
    767,523x = 1,325,659,785,129
  5. Step 5: Solve for x
    x = 1,325,659,785,129/767,523
  6. Step 6: Final answer
    x = 1,727,192.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.