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Finding the Third Proportional to 221,567.91 and 472,659.05

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Solution

The third proportional to 221,567.91 and 472,659.05 is: 1,008,298.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,567.91 : 472,659.05 = 472,659.05 : x
  2. Step 2: Convert to fraction form
    221,567.91/472,659.05 = 472,659.05/x
  3. Step 3: Cross multiply
    221,567.91x = 472,659.05 × 472,659.05
  4. Step 4: Simplify right side
    221,567.91x = 223,406,574,592.78
  5. Step 5: Solve for x
    x = 223,406,574,592.78/221,567.91
  6. Step 6: Final answer
    x = 1,008,298.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.