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Finding the Third Proportional to 383,554 and 575,331

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Solution

The third proportional to 383,554 and 575,331 is: 862,996.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,554 : 575,331 = 575,331 : x
  2. Step 2: Convert to fraction form
    383,554/575,331 = 575,331/x
  3. Step 3: Cross multiply
    383,554x = 575,331 × 575,331
  4. Step 4: Simplify right side
    383,554x = 331,005,759,561
  5. Step 5: Solve for x
    x = 331,005,759,561/383,554
  6. Step 6: Final answer
    x = 862,996.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.