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Finding the Third Proportional to 213,904.55 and 464,760.28

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Solution

The third proportional to 213,904.55 and 464,760.28 is: 1,009,806.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,904.55 : 464,760.28 = 464,760.28 : x
  2. Step 2: Convert to fraction form
    213,904.55/464,760.28 = 464,760.28/x
  3. Step 3: Cross multiply
    213,904.55x = 464,760.28 × 464,760.28
  4. Step 4: Simplify right side
    213,904.55x = 216,002,119,027.58
  5. Step 5: Solve for x
    x = 216,002,119,027.58/213,904.55
  6. Step 6: Final answer
    x = 1,009,806.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.