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Finding the Third Proportional to 302,211 and 658,368

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Solution

The third proportional to 302,211 and 658,368 is: 1,434,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,211 : 658,368 = 658,368 : x
  2. Step 2: Convert to fraction form
    302,211/658,368 = 658,368/x
  3. Step 3: Cross multiply
    302,211x = 658,368 × 658,368
  4. Step 4: Simplify right side
    302,211x = 433,448,423,424
  5. Step 5: Solve for x
    x = 433,448,423,424/302,211
  6. Step 6: Final answer
    x = 1,434,257.60

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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.