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Finding the Third Proportional to 242,568 and 566,556

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Solution

The third proportional to 242,568 and 566,556 is: 1,323,281.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,568 : 566,556 = 566,556 : x
  2. Step 2: Convert to fraction form
    242,568/566,556 = 566,556/x
  3. Step 3: Cross multiply
    242,568x = 566,556 × 566,556
  4. Step 4: Simplify right side
    242,568x = 320,985,701,136
  5. Step 5: Solve for x
    x = 320,985,701,136/242,568
  6. Step 6: Final answer
    x = 1,323,281.31

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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.