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Finding the Third Proportional to 242,786 and 533,754

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Solution

The third proportional to 242,786 and 533,754 is: 1,173,433.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,786 : 533,754 = 533,754 : x
  2. Step 2: Convert to fraction form
    242,786/533,754 = 533,754/x
  3. Step 3: Cross multiply
    242,786x = 533,754 × 533,754
  4. Step 4: Simplify right side
    242,786x = 284,893,332,516
  5. Step 5: Solve for x
    x = 284,893,332,516/242,786
  6. Step 6: Final answer
    x = 1,173,433.94

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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.