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Finding the Third Proportional to 766,407 and 1,176,394.50

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Solution

The third proportional to 766,407 and 1,176,394.50 is: 1,805,703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,407 : 1,176,394.50 = 1,176,394.50 : x
  2. Step 2: Convert to fraction form
    766,407/1,176,394.50 = 1,176,394.50/x
  3. Step 3: Cross multiply
    766,407x = 1,176,394.50 × 1,176,394.50
  4. Step 4: Simplify right side
    766,407x = 1,383,904,019,630.25
  5. Step 5: Solve for x
    x = 1,383,904,019,630.25/766,407
  6. Step 6: Final answer
    x = 1,805,703.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.