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Finding the Third Proportional to 445,329 and 970,582

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Solution

The third proportional to 445,329 and 970,582 is: 2,115,356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,329 : 970,582 = 970,582 : x
  2. Step 2: Convert to fraction form
    445,329/970,582 = 970,582/x
  3. Step 3: Cross multiply
    445,329x = 970,582 × 970,582
  4. Step 4: Simplify right side
    445,329x = 942,029,418,724
  5. Step 5: Solve for x
    x = 942,029,418,724/445,329
  6. Step 6: Final answer
    x = 2,115,356.10

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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.