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Finding the Third Proportional to 493,381.13 and 722,575.69

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Solution

The third proportional to 493,381.13 and 722,575.69 is: 1,058,239.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,381.13 : 722,575.69 = 722,575.69 : x
  2. Step 2: Convert to fraction form
    493,381.13/722,575.69 = 722,575.69/x
  3. Step 3: Cross multiply
    493,381.13x = 722,575.69 × 722,575.69
  4. Step 4: Simplify right side
    493,381.13x = 522,115,624,166.10
  5. Step 5: Solve for x
    x = 522,115,624,166.10/493,381.13
  6. Step 6: Final answer
    x = 1,058,239.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.