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Finding the Third Proportional to 255,982 and 568,780

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Solution

The third proportional to 255,982 and 568,780 is: 1,263,802.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,982 : 568,780 = 568,780 : x
  2. Step 2: Convert to fraction form
    255,982/568,780 = 568,780/x
  3. Step 3: Cross multiply
    255,982x = 568,780 × 568,780
  4. Step 4: Simplify right side
    255,982x = 323,510,688,400
  5. Step 5: Solve for x
    x = 323,510,688,400/255,982
  6. Step 6: Final answer
    x = 1,263,802.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.