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Finding the Third Proportional to 316,340 and 483,906

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Solution

The third proportional to 316,340 and 483,906 is: 740,232.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,340 : 483,906 = 483,906 : x
  2. Step 2: Convert to fraction form
    316,340/483,906 = 483,906/x
  3. Step 3: Cross multiply
    316,340x = 483,906 × 483,906
  4. Step 4: Simplify right side
    316,340x = 234,165,016,836
  5. Step 5: Solve for x
    x = 234,165,016,836/316,340
  6. Step 6: Final answer
    x = 740,232.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.