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Finding the Third Proportional to 221,008 and 477,230

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Solution

The third proportional to 221,008 and 477,230 is: 1,030,498.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,008 : 477,230 = 477,230 : x
  2. Step 2: Convert to fraction form
    221,008/477,230 = 477,230/x
  3. Step 3: Cross multiply
    221,008x = 477,230 × 477,230
  4. Step 4: Simplify right side
    221,008x = 227,748,472,900
  5. Step 5: Solve for x
    x = 227,748,472,900/221,008
  6. Step 6: Final answer
    x = 1,030,498.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.