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Finding the Third Proportional to 367,092 and 537,354

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Solution

The third proportional to 367,092 and 537,354 is: 786,585.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,092 : 537,354 = 537,354 : x
  2. Step 2: Convert to fraction form
    367,092/537,354 = 537,354/x
  3. Step 3: Cross multiply
    367,092x = 537,354 × 537,354
  4. Step 4: Simplify right side
    367,092x = 288,749,321,316
  5. Step 5: Solve for x
    x = 288,749,321,316/367,092
  6. Step 6: Final answer
    x = 786,585.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.