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Finding the Third Proportional to 242,214 and 565,740

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Solution

The third proportional to 242,214 and 565,740 is: 1,321,400.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,214 : 565,740 = 565,740 : x
  2. Step 2: Convert to fraction form
    242,214/565,740 = 565,740/x
  3. Step 3: Cross multiply
    242,214x = 565,740 × 565,740
  4. Step 4: Simplify right side
    242,214x = 320,061,747,600
  5. Step 5: Solve for x
    x = 320,061,747,600/242,214
  6. Step 6: Final answer
    x = 1,321,400.69

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.