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Finding the Third Proportional to 262,857 and 411,807

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Solution

The third proportional to 262,857 and 411,807 is: 645,160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,857 : 411,807 = 411,807 : x
  2. Step 2: Convert to fraction form
    262,857/411,807 = 411,807/x
  3. Step 3: Cross multiply
    262,857x = 411,807 × 411,807
  4. Step 4: Simplify right side
    262,857x = 169,585,005,249
  5. Step 5: Solve for x
    x = 169,585,005,249/262,857
  6. Step 6: Final answer
    x = 645,160.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.