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Finding the Third Proportional to 383,637 and 580,786

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Solution

The third proportional to 383,637 and 580,786 is: 879,248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,637 : 580,786 = 580,786 : x
  2. Step 2: Convert to fraction form
    383,637/580,786 = 580,786/x
  3. Step 3: Cross multiply
    383,637x = 580,786 × 580,786
  4. Step 4: Simplify right side
    383,637x = 337,312,377,796
  5. Step 5: Solve for x
    x = 337,312,377,796/383,637
  6. Step 6: Final answer
    x = 879,248.82

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