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Finding the Third Proportional to 467,842 and 705,087

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Solution

The third proportional to 467,842 and 705,087 is: 1,062,640.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,842 : 705,087 = 705,087 : x
  2. Step 2: Convert to fraction form
    467,842/705,087 = 705,087/x
  3. Step 3: Cross multiply
    467,842x = 705,087 × 705,087
  4. Step 4: Simplify right side
    467,842x = 497,147,677,569
  5. Step 5: Solve for x
    x = 497,147,677,569/467,842
  6. Step 6: Final answer
    x = 1,062,640.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.