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Finding the Third Proportional to 251,178 and 592,822

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Solution

The third proportional to 251,178 and 592,822 is: 1,399,158.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,178 : 592,822 = 592,822 : x
  2. Step 2: Convert to fraction form
    251,178/592,822 = 592,822/x
  3. Step 3: Cross multiply
    251,178x = 592,822 × 592,822
  4. Step 4: Simplify right side
    251,178x = 351,437,923,684
  5. Step 5: Solve for x
    x = 351,437,923,684/251,178
  6. Step 6: Final answer
    x = 1,399,158.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.