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Finding the Third Proportional to 215,758 and 458,732

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Solution

The third proportional to 215,758 and 458,732 is: 975,329.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,758 : 458,732 = 458,732 : x
  2. Step 2: Convert to fraction form
    215,758/458,732 = 458,732/x
  3. Step 3: Cross multiply
    215,758x = 458,732 × 458,732
  4. Step 4: Simplify right side
    215,758x = 210,435,047,824
  5. Step 5: Solve for x
    x = 210,435,047,824/215,758
  6. Step 6: Final answer
    x = 975,329.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.