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Finding the Third Proportional to 229,032 and 464,532

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Solution

The third proportional to 229,032 and 464,532 is: 942,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,032 : 464,532 = 464,532 : x
  2. Step 2: Convert to fraction form
    229,032/464,532 = 464,532/x
  3. Step 3: Cross multiply
    229,032x = 464,532 × 464,532
  4. Step 4: Simplify right side
    229,032x = 215,789,979,024
  5. Step 5: Solve for x
    x = 215,789,979,024/229,032
  6. Step 6: Final answer
    x = 942,182.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.