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Finding the Third Proportional to 215,428 and 460,180

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Solution

The third proportional to 215,428 and 460,180 is: 982,999.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,428 : 460,180 = 460,180 : x
  2. Step 2: Convert to fraction form
    215,428/460,180 = 460,180/x
  3. Step 3: Cross multiply
    215,428x = 460,180 × 460,180
  4. Step 4: Simplify right side
    215,428x = 211,765,632,400
  5. Step 5: Solve for x
    x = 211,765,632,400/215,428
  6. Step 6: Final answer
    x = 982,999.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.