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Finding the Third Proportional to 258,023 and 390,927

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Solution

The third proportional to 258,023 and 390,927 is: 592,287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,023 : 390,927 = 390,927 : x
  2. Step 2: Convert to fraction form
    258,023/390,927 = 390,927/x
  3. Step 3: Cross multiply
    258,023x = 390,927 × 390,927
  4. Step 4: Simplify right side
    258,023x = 152,823,919,329
  5. Step 5: Solve for x
    x = 152,823,919,329/258,023
  6. Step 6: Final answer
    x = 592,287.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.