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Finding the Third Proportional to 282,264 and 603,900

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Solution

The third proportional to 282,264 and 603,900 is: 1,292,035.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,264 : 603,900 = 603,900 : x
  2. Step 2: Convert to fraction form
    282,264/603,900 = 603,900/x
  3. Step 3: Cross multiply
    282,264x = 603,900 × 603,900
  4. Step 4: Simplify right side
    282,264x = 364,695,210,000
  5. Step 5: Solve for x
    x = 364,695,210,000/282,264
  6. Step 6: Final answer
    x = 1,292,035.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.