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Finding the Third Proportional to 383,484 and 580,590

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Solution

The third proportional to 383,484 and 580,590 is: 879,006.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,484 : 580,590 = 580,590 : x
  2. Step 2: Convert to fraction form
    383,484/580,590 = 580,590/x
  3. Step 3: Cross multiply
    383,484x = 580,590 × 580,590
  4. Step 4: Simplify right side
    383,484x = 337,084,748,100
  5. Step 5: Solve for x
    x = 337,084,748,100/383,484
  6. Step 6: Final answer
    x = 879,006.03

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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.