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Finding the Third Proportional to 215,712 and 326,584

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Solution

The third proportional to 215,712 and 326,584 is: 494,442.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,712 : 326,584 = 326,584 : x
  2. Step 2: Convert to fraction form
    215,712/326,584 = 326,584/x
  3. Step 3: Cross multiply
    215,712x = 326,584 × 326,584
  4. Step 4: Simplify right side
    215,712x = 106,657,109,056
  5. Step 5: Solve for x
    x = 106,657,109,056/215,712
  6. Step 6: Final answer
    x = 494,442.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.