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Finding the Third Proportional to 242,942 and 533,716

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Solution

The third proportional to 242,942 and 533,716 is: 1,172,513.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,942 : 533,716 = 533,716 : x
  2. Step 2: Convert to fraction form
    242,942/533,716 = 533,716/x
  3. Step 3: Cross multiply
    242,942x = 533,716 × 533,716
  4. Step 4: Simplify right side
    242,942x = 284,852,768,656
  5. Step 5: Solve for x
    x = 284,852,768,656/242,942
  6. Step 6: Final answer
    x = 1,172,513.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.