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Finding the Third Proportional to 305,856 and 658,584

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Solution

The third proportional to 305,856 and 658,584 is: 1,418,095.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,856 : 658,584 = 658,584 : x
  2. Step 2: Convert to fraction form
    305,856/658,584 = 658,584/x
  3. Step 3: Cross multiply
    305,856x = 658,584 × 658,584
  4. Step 4: Simplify right side
    305,856x = 433,732,885,056
  5. Step 5: Solve for x
    x = 433,732,885,056/305,856
  6. Step 6: Final answer
    x = 1,418,095.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.