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Finding the Third Proportional to 336,822 and 522,972

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Solution

The third proportional to 336,822 and 522,972 is: 812,000.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,822 : 522,972 = 522,972 : x
  2. Step 2: Convert to fraction form
    336,822/522,972 = 522,972/x
  3. Step 3: Cross multiply
    336,822x = 522,972 × 522,972
  4. Step 4: Simplify right side
    336,822x = 273,499,712,784
  5. Step 5: Solve for x
    x = 273,499,712,784/336,822
  6. Step 6: Final answer
    x = 812,000.74

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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.