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Finding the Third Proportional to 366,944 and 561,359

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Solution

The third proportional to 366,944 and 561,359 is: 858,779.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,944 : 561,359 = 561,359 : x
  2. Step 2: Convert to fraction form
    366,944/561,359 = 561,359/x
  3. Step 3: Cross multiply
    366,944x = 561,359 × 561,359
  4. Step 4: Simplify right side
    366,944x = 315,123,926,881
  5. Step 5: Solve for x
    x = 315,123,926,881/366,944
  6. Step 6: Final answer
    x = 858,779.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.