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Finding the Third Proportional to 363,164 and 560,062

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Solution

The third proportional to 363,164 and 560,062 is: 863,712.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,164 : 560,062 = 560,062 : x
  2. Step 2: Convert to fraction form
    363,164/560,062 = 560,062/x
  3. Step 3: Cross multiply
    363,164x = 560,062 × 560,062
  4. Step 4: Simplify right side
    363,164x = 313,669,443,844
  5. Step 5: Solve for x
    x = 313,669,443,844/363,164
  6. Step 6: Final answer
    x = 863,712.93

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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.