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Finding the Third Proportional to 262,336 and 571,388

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Solution

The third proportional to 262,336 and 571,388 is: 1,244,527.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,336 : 571,388 = 571,388 : x
  2. Step 2: Convert to fraction form
    262,336/571,388 = 571,388/x
  3. Step 3: Cross multiply
    262,336x = 571,388 × 571,388
  4. Step 4: Simplify right side
    262,336x = 326,484,246,544
  5. Step 5: Solve for x
    x = 326,484,246,544/262,336
  6. Step 6: Final answer
    x = 1,244,527.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.