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Finding the Third Proportional to 261,296 and 390,924

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Solution

The third proportional to 261,296 and 390,924 is: 584,859.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,296 : 390,924 = 390,924 : x
  2. Step 2: Convert to fraction form
    261,296/390,924 = 390,924/x
  3. Step 3: Cross multiply
    261,296x = 390,924 × 390,924
  4. Step 4: Simplify right side
    261,296x = 152,821,573,776
  5. Step 5: Solve for x
    x = 152,821,573,776/261,296
  6. Step 6: Final answer
    x = 584,859.98

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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.