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Finding the Third Proportional to 302,079.38 and 698,302.27

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Solution

The third proportional to 302,079.38 and 698,302.27 is: 1,614,231.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,079.38 : 698,302.27 = 698,302.27 : x
  2. Step 2: Convert to fraction form
    302,079.38/698,302.27 = 698,302.27/x
  3. Step 3: Cross multiply
    302,079.38x = 698,302.27 × 698,302.27
  4. Step 4: Simplify right side
    302,079.38x = 487,626,054,177.01
  5. Step 5: Solve for x
    x = 487,626,054,177.01/302,079.38
  6. Step 6: Final answer
    x = 1,614,231.54

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.