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Finding the Third Proportional to 404,436 and 880,582

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Solution

The third proportional to 404,436 and 880,582 is: 1,917,298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,436 : 880,582 = 880,582 : x
  2. Step 2: Convert to fraction form
    404,436/880,582 = 880,582/x
  3. Step 3: Cross multiply
    404,436x = 880,582 × 880,582
  4. Step 4: Simplify right side
    404,436x = 775,424,658,724
  5. Step 5: Solve for x
    x = 775,424,658,724/404,436
  6. Step 6: Final answer
    x = 1,917,298.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.