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Finding the Third Proportional to 316,828 and 460,974

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Solution

The third proportional to 316,828 and 460,974 is: 670,701.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,828 : 460,974 = 460,974 : x
  2. Step 2: Convert to fraction form
    316,828/460,974 = 460,974/x
  3. Step 3: Cross multiply
    316,828x = 460,974 × 460,974
  4. Step 4: Simplify right side
    316,828x = 212,497,028,676
  5. Step 5: Solve for x
    x = 212,497,028,676/316,828
  6. Step 6: Final answer
    x = 670,701.54

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.