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Finding the Third Proportional to 221,441 and 463,932

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Solution

The third proportional to 221,441 and 463,932 is: 971,965.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,441 : 463,932 = 463,932 : x
  2. Step 2: Convert to fraction form
    221,441/463,932 = 463,932/x
  3. Step 3: Cross multiply
    221,441x = 463,932 × 463,932
  4. Step 4: Simplify right side
    221,441x = 215,232,900,624
  5. Step 5: Solve for x
    x = 215,232,900,624/221,441
  6. Step 6: Final answer
    x = 971,965.00

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.