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Finding the Third Proportional to 372,710 and 496,569

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Solution

The third proportional to 372,710 and 496,569 is: 661,588.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,710 : 496,569 = 496,569 : x
  2. Step 2: Convert to fraction form
    372,710/496,569 = 496,569/x
  3. Step 3: Cross multiply
    372,710x = 496,569 × 496,569
  4. Step 4: Simplify right side
    372,710x = 246,580,771,761
  5. Step 5: Solve for x
    x = 246,580,771,761/372,710
  6. Step 6: Final answer
    x = 661,588.83

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.