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Finding the Third Proportional to 381,465 and 591,048

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Solution

The third proportional to 381,465 and 591,048 is: 915,779.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,465 : 591,048 = 591,048 : x
  2. Step 2: Convert to fraction form
    381,465/591,048 = 591,048/x
  3. Step 3: Cross multiply
    381,465x = 591,048 × 591,048
  4. Step 4: Simplify right side
    381,465x = 349,337,738,304
  5. Step 5: Solve for x
    x = 349,337,738,304/381,465
  6. Step 6: Final answer
    x = 915,779.27

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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.