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Finding the Third Proportional to 223,000 and 480,996

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Solution

The third proportional to 223,000 and 480,996 is: 1,037,476.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,000 : 480,996 = 480,996 : x
  2. Step 2: Convert to fraction form
    223,000/480,996 = 480,996/x
  3. Step 3: Cross multiply
    223,000x = 480,996 × 480,996
  4. Step 4: Simplify right side
    223,000x = 231,357,152,016
  5. Step 5: Solve for x
    x = 231,357,152,016/223,000
  6. Step 6: Final answer
    x = 1,037,476.02

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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.