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Finding the Third Proportional to 286,416 and 617,092

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Solution

The third proportional to 286,416 and 617,092 is: 1,329,543.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,416 : 617,092 = 617,092 : x
  2. Step 2: Convert to fraction form
    286,416/617,092 = 617,092/x
  3. Step 3: Cross multiply
    286,416x = 617,092 × 617,092
  4. Step 4: Simplify right side
    286,416x = 380,802,536,464
  5. Step 5: Solve for x
    x = 380,802,536,464/286,416
  6. Step 6: Final answer
    x = 1,329,543.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.