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Finding the Third Proportional to 242,947 and 567,554

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Solution

The third proportional to 242,947 and 567,554 is: 1,325,875.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,947 : 567,554 = 567,554 : x
  2. Step 2: Convert to fraction form
    242,947/567,554 = 567,554/x
  3. Step 3: Cross multiply
    242,947x = 567,554 × 567,554
  4. Step 4: Simplify right side
    242,947x = 322,117,542,916
  5. Step 5: Solve for x
    x = 322,117,542,916/242,947
  6. Step 6: Final answer
    x = 1,325,875.78

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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.