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Finding the Third Proportional to 363,924 and 560,951

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Solution

The third proportional to 363,924 and 560,951 is: 864,647.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,924 : 560,951 = 560,951 : x
  2. Step 2: Convert to fraction form
    363,924/560,951 = 560,951/x
  3. Step 3: Cross multiply
    363,924x = 560,951 × 560,951
  4. Step 4: Simplify right side
    363,924x = 314,666,024,401
  5. Step 5: Solve for x
    x = 314,666,024,401/363,924
  6. Step 6: Final answer
    x = 864,647.63

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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.