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Finding the Third Proportional to 367,822 and 562,423

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Solution

The third proportional to 367,822 and 562,423 is: 859,980.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,822 : 562,423 = 562,423 : x
  2. Step 2: Convert to fraction form
    367,822/562,423 = 562,423/x
  3. Step 3: Cross multiply
    367,822x = 562,423 × 562,423
  4. Step 4: Simplify right side
    367,822x = 316,319,630,929
  5. Step 5: Solve for x
    x = 316,319,630,929/367,822
  6. Step 6: Final answer
    x = 859,980.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.