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Finding the Third Proportional to 367,038 and 561,529

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Solution

The third proportional to 367,038 and 561,529 is: 859,079.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,038 : 561,529 = 561,529 : x
  2. Step 2: Convert to fraction form
    367,038/561,529 = 561,529/x
  3. Step 3: Cross multiply
    367,038x = 561,529 × 561,529
  4. Step 4: Simplify right side
    367,038x = 315,314,817,841
  5. Step 5: Solve for x
    x = 315,314,817,841/367,038
  6. Step 6: Final answer
    x = 859,079.49

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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.