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Finding the Third Proportional to 242,912 and 533,650

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Solution

The third proportional to 242,912 and 533,650 is: 1,172,368.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,912 : 533,650 = 533,650 : x
  2. Step 2: Convert to fraction form
    242,912/533,650 = 533,650/x
  3. Step 3: Cross multiply
    242,912x = 533,650 × 533,650
  4. Step 4: Simplify right side
    242,912x = 284,782,322,500
  5. Step 5: Solve for x
    x = 284,782,322,500/242,912
  6. Step 6: Final answer
    x = 1,172,368.28

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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.