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Finding the Third Proportional to 262,780 and 595,714

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Solution

The third proportional to 262,780 and 595,714 is: 1,350,464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,780 : 595,714 = 595,714 : x
  2. Step 2: Convert to fraction form
    262,780/595,714 = 595,714/x
  3. Step 3: Cross multiply
    262,780x = 595,714 × 595,714
  4. Step 4: Simplify right side
    262,780x = 354,875,169,796
  5. Step 5: Solve for x
    x = 354,875,169,796/262,780
  6. Step 6: Final answer
    x = 1,350,464.91

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.