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Finding the Third Proportional to 383,640 and 580,788

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Solution

The third proportional to 383,640 and 580,788 is: 879,248.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,640 : 580,788 = 580,788 : x
  2. Step 2: Convert to fraction form
    383,640/580,788 = 580,788/x
  3. Step 3: Cross multiply
    383,640x = 580,788 × 580,788
  4. Step 4: Simplify right side
    383,640x = 337,314,700,944
  5. Step 5: Solve for x
    x = 337,314,700,944/383,640
  6. Step 6: Final answer
    x = 879,248.00

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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.