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Finding the Third Proportional to 223,799.63 and 457,939.13

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Solution

The third proportional to 223,799.63 and 457,939.13 is: 937,035.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,799.63 : 457,939.13 = 457,939.13 : x
  2. Step 2: Convert to fraction form
    223,799.63/457,939.13 = 457,939.13/x
  3. Step 3: Cross multiply
    223,799.63x = 457,939.13 × 457,939.13
  4. Step 4: Simplify right side
    223,799.63x = 209,708,242,205.77
  5. Step 5: Solve for x
    x = 209,708,242,205.77/223,799.63
  6. Step 6: Final answer
    x = 937,035.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.