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Finding the Third Proportional to 262,701 and 416,044

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Solution

The third proportional to 262,701 and 416,044 is: 658,895.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,701 : 416,044 = 416,044 : x
  2. Step 2: Convert to fraction form
    262,701/416,044 = 416,044/x
  3. Step 3: Cross multiply
    262,701x = 416,044 × 416,044
  4. Step 4: Simplify right side
    262,701x = 173,092,609,936
  5. Step 5: Solve for x
    x = 173,092,609,936/262,701
  6. Step 6: Final answer
    x = 658,895.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.