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Finding the Third Proportional to 437,800 and 958,639

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Solution

The third proportional to 437,800 and 958,639 is: 2,099,106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,800 : 958,639 = 958,639 : x
  2. Step 2: Convert to fraction form
    437,800/958,639 = 958,639/x
  3. Step 3: Cross multiply
    437,800x = 958,639 × 958,639
  4. Step 4: Simplify right side
    437,800x = 918,988,732,321
  5. Step 5: Solve for x
    x = 918,988,732,321/437,800
  6. Step 6: Final answer
    x = 2,099,106.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.