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Finding the Third Proportional to 255,542 and 543,862

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Solution

The third proportional to 255,542 and 543,862 is: 1,157,484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,542 : 543,862 = 543,862 : x
  2. Step 2: Convert to fraction form
    255,542/543,862 = 543,862/x
  3. Step 3: Cross multiply
    255,542x = 543,862 × 543,862
  4. Step 4: Simplify right side
    255,542x = 295,785,875,044
  5. Step 5: Solve for x
    x = 295,785,875,044/255,542
  6. Step 6: Final answer
    x = 1,157,484.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.