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Finding the Third Proportional to 262,824 and 411,737

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Solution

The third proportional to 262,824 and 411,737 is: 645,022.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,824 : 411,737 = 411,737 : x
  2. Step 2: Convert to fraction form
    262,824/411,737 = 411,737/x
  3. Step 3: Cross multiply
    262,824x = 411,737 × 411,737
  4. Step 4: Simplify right side
    262,824x = 169,527,357,169
  5. Step 5: Solve for x
    x = 169,527,357,169/262,824
  6. Step 6: Final answer
    x = 645,022.36

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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.