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Finding the Third Proportional to 225,291.38 and 456,799.50

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Solution

The third proportional to 225,291.38 and 456,799.50 is: 926,204.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,291.38 : 456,799.50 = 456,799.50 : x
  2. Step 2: Convert to fraction form
    225,291.38/456,799.50 = 456,799.50/x
  3. Step 3: Cross multiply
    225,291.38x = 456,799.50 × 456,799.50
  4. Step 4: Simplify right side
    225,291.38x = 208,665,783,200.25
  5. Step 5: Solve for x
    x = 208,665,783,200.25/225,291.38
  6. Step 6: Final answer
    x = 926,204.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.