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Finding the Third Proportional to 258,559 and 379,317

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Solution

The third proportional to 258,559 and 379,317 is: 556,474.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,559 : 379,317 = 379,317 : x
  2. Step 2: Convert to fraction form
    258,559/379,317 = 379,317/x
  3. Step 3: Cross multiply
    258,559x = 379,317 × 379,317
  4. Step 4: Simplify right side
    258,559x = 143,881,386,489
  5. Step 5: Solve for x
    x = 143,881,386,489/258,559
  6. Step 6: Final answer
    x = 556,474.10

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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.