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Finding the Third Proportional to 262,878 and 570,045

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Solution

The third proportional to 262,878 and 570,045 is: 1,236,129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,878 : 570,045 = 570,045 : x
  2. Step 2: Convert to fraction form
    262,878/570,045 = 570,045/x
  3. Step 3: Cross multiply
    262,878x = 570,045 × 570,045
  4. Step 4: Simplify right side
    262,878x = 324,951,302,025
  5. Step 5: Solve for x
    x = 324,951,302,025/262,878
  6. Step 6: Final answer
    x = 1,236,129.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.