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Finding the Third Proportional to 383,084 and 579,952

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Solution

The third proportional to 383,084 and 579,952 is: 877,991.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,084 : 579,952 = 579,952 : x
  2. Step 2: Convert to fraction form
    383,084/579,952 = 579,952/x
  3. Step 3: Cross multiply
    383,084x = 579,952 × 579,952
  4. Step 4: Simplify right side
    383,084x = 336,344,322,304
  5. Step 5: Solve for x
    x = 336,344,322,304/383,084
  6. Step 6: Final answer
    x = 877,991.05

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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.