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Finding the Third Proportional to 221,150 and 473,852

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Solution

The third proportional to 221,150 and 473,852 is: 1,015,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,150 : 473,852 = 473,852 : x
  2. Step 2: Convert to fraction form
    221,150/473,852 = 473,852/x
  3. Step 3: Cross multiply
    221,150x = 473,852 × 473,852
  4. Step 4: Simplify right side
    221,150x = 224,535,717,904
  5. Step 5: Solve for x
    x = 224,535,717,904/221,150
  6. Step 6: Final answer
    x = 1,015,309.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.