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Finding the Third Proportional to 220,023 and 482,121

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Solution

The third proportional to 220,023 and 482,121 is: 1,056,438.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,023 : 482,121 = 482,121 : x
  2. Step 2: Convert to fraction form
    220,023/482,121 = 482,121/x
  3. Step 3: Cross multiply
    220,023x = 482,121 × 482,121
  4. Step 4: Simplify right side
    220,023x = 232,440,658,641
  5. Step 5: Solve for x
    x = 232,440,658,641/220,023
  6. Step 6: Final answer
    x = 1,056,438.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.