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Finding the Third Proportional to 302,125 and 658,197

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Solution

The third proportional to 302,125 and 658,197 is: 1,433,920.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,125 : 658,197 = 658,197 : x
  2. Step 2: Convert to fraction form
    302,125/658,197 = 658,197/x
  3. Step 3: Cross multiply
    302,125x = 658,197 × 658,197
  4. Step 4: Simplify right side
    302,125x = 433,223,290,809
  5. Step 5: Solve for x
    x = 433,223,290,809/302,125
  6. Step 6: Final answer
    x = 1,433,920.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.