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Finding the Third Proportional to 213,796.13 and 464,554.13

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Solution

The third proportional to 213,796.13 and 464,554.13 is: 1,009,422.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,796.13 : 464,554.13 = 464,554.13 : x
  2. Step 2: Convert to fraction form
    213,796.13/464,554.13 = 464,554.13/x
  3. Step 3: Cross multiply
    213,796.13x = 464,554.13 × 464,554.13
  4. Step 4: Simplify right side
    213,796.13x = 215,810,535,054.52
  5. Step 5: Solve for x
    x = 215,810,535,054.52/213,796.13
  6. Step 6: Final answer
    x = 1,009,422.11

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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.