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Finding the Third Proportional to 258,561 and 379,320

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Solution

The third proportional to 258,561 and 379,320 is: 556,478.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,561 : 379,320 = 379,320 : x
  2. Step 2: Convert to fraction form
    258,561/379,320 = 379,320/x
  3. Step 3: Cross multiply
    258,561x = 379,320 × 379,320
  4. Step 4: Simplify right side
    258,561x = 143,883,662,400
  5. Step 5: Solve for x
    x = 143,883,662,400/258,561
  6. Step 6: Final answer
    x = 556,478.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.