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Finding the Third Proportional to 258,005 and 390,900

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Solution

The third proportional to 258,005 and 390,900 is: 592,247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,005 : 390,900 = 390,900 : x
  2. Step 2: Convert to fraction form
    258,005/390,900 = 390,900/x
  3. Step 3: Cross multiply
    258,005x = 390,900 × 390,900
  4. Step 4: Simplify right side
    258,005x = 152,802,810,000
  5. Step 5: Solve for x
    x = 152,802,810,000/258,005
  6. Step 6: Final answer
    x = 592,247.48

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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.