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Finding the Third Proportional to 367,042 and 561,535

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Solution

The third proportional to 367,042 and 561,535 is: 859,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,042 : 561,535 = 561,535 : x
  2. Step 2: Convert to fraction form
    367,042/561,535 = 561,535/x
  3. Step 3: Cross multiply
    367,042x = 561,535 × 561,535
  4. Step 4: Simplify right side
    367,042x = 315,321,556,225
  5. Step 5: Solve for x
    x = 315,321,556,225/367,042
  6. Step 6: Final answer
    x = 859,088.49

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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.