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Finding the Third Proportional to 262,823 and 411,817.50

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Solution

The third proportional to 262,823 and 411,817.50 is: 645,277.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,823 : 411,817.50 = 411,817.50 : x
  2. Step 2: Convert to fraction form
    262,823/411,817.50 = 411,817.50/x
  3. Step 3: Cross multiply
    262,823x = 411,817.50 × 411,817.50
  4. Step 4: Simplify right side
    262,823x = 169,593,653,306.25
  5. Step 5: Solve for x
    x = 169,593,653,306.25/262,823
  6. Step 6: Final answer
    x = 645,277.06

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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.