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Finding the Third Proportional to 261,244 and 390,853

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Solution

The third proportional to 261,244 and 390,853 is: 584,763.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,244 : 390,853 = 390,853 : x
  2. Step 2: Convert to fraction form
    261,244/390,853 = 390,853/x
  3. Step 3: Cross multiply
    261,244x = 390,853 × 390,853
  4. Step 4: Simplify right side
    261,244x = 152,766,067,609
  5. Step 5: Solve for x
    x = 152,766,067,609/261,244
  6. Step 6: Final answer
    x = 584,763.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.