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Finding the Third Proportional to 383,571 and 595,539

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Solution

The third proportional to 383,571 and 595,539 is: 924,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,571 : 595,539 = 595,539 : x
  2. Step 2: Convert to fraction form
    383,571/595,539 = 595,539/x
  3. Step 3: Cross multiply
    383,571x = 595,539 × 595,539
  4. Step 4: Simplify right side
    383,571x = 354,666,700,521
  5. Step 5: Solve for x
    x = 354,666,700,521/383,571
  6. Step 6: Final answer
    x = 924,644.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.