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Finding the Third Proportional to 367,017 and 561,495

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Solution

The third proportional to 367,017 and 561,495 is: 859,024.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,017 : 561,495 = 561,495 : x
  2. Step 2: Convert to fraction form
    367,017/561,495 = 561,495/x
  3. Step 3: Cross multiply
    367,017x = 561,495 × 561,495
  4. Step 4: Simplify right side
    367,017x = 315,276,635,025
  5. Step 5: Solve for x
    x = 315,276,635,025/367,017
  6. Step 6: Final answer
    x = 859,024.61

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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.