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Finding the Third Proportional to 367,026 and 561,511

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Solution

The third proportional to 367,026 and 561,511 is: 859,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,026 : 561,511 = 561,511 : x
  2. Step 2: Convert to fraction form
    367,026/561,511 = 561,511/x
  3. Step 3: Cross multiply
    367,026x = 561,511 × 561,511
  4. Step 4: Simplify right side
    367,026x = 315,294,603,121
  5. Step 5: Solve for x
    x = 315,294,603,121/367,026
  6. Step 6: Final answer
    x = 859,052.50

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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.