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Finding the Third Proportional to 302,844 and 658,716

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Solution

The third proportional to 302,844 and 658,716 is: 1,432,773.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,844 : 658,716 = 658,716 : x
  2. Step 2: Convert to fraction form
    302,844/658,716 = 658,716/x
  3. Step 3: Cross multiply
    302,844x = 658,716 × 658,716
  4. Step 4: Simplify right side
    302,844x = 433,906,768,656
  5. Step 5: Solve for x
    x = 433,906,768,656/302,844
  6. Step 6: Final answer
    x = 1,432,773.21

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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.