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Finding the Third Proportional to 224,497.83 and 474,282.84

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Solution

The third proportional to 224,497.83 and 474,282.84 is: 1,001,988.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,497.83 : 474,282.84 = 474,282.84 : x
  2. Step 2: Convert to fraction form
    224,497.83/474,282.84 = 474,282.84/x
  3. Step 3: Cross multiply
    224,497.83x = 474,282.84 × 474,282.84
  4. Step 4: Simplify right side
    224,497.83x = 224,944,215,875.59
  5. Step 5: Solve for x
    x = 224,944,215,875.59/224,497.83
  6. Step 6: Final answer
    x = 1,001,988.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.