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Finding the Third Proportional to 258,602 and 399,279

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Solution

The third proportional to 258,602 and 399,279 is: 616,482.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,602 : 399,279 = 399,279 : x
  2. Step 2: Convert to fraction form
    258,602/399,279 = 399,279/x
  3. Step 3: Cross multiply
    258,602x = 399,279 × 399,279
  4. Step 4: Simplify right side
    258,602x = 159,423,719,841
  5. Step 5: Solve for x
    x = 159,423,719,841/258,602
  6. Step 6: Final answer
    x = 616,482.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.