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Finding the Third Proportional to 384,210.84 and 834,850.55

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Solution

The third proportional to 384,210.84 and 834,850.55 is: 1,814,044.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,210.84 : 834,850.55 = 834,850.55 : x
  2. Step 2: Convert to fraction form
    384,210.84/834,850.55 = 834,850.55/x
  3. Step 3: Cross multiply
    384,210.84x = 834,850.55 × 834,850.55
  4. Step 4: Simplify right side
    384,210.84x = 696,975,435,617.49
  5. Step 5: Solve for x
    x = 696,975,435,617.49/384,210.84
  6. Step 6: Final answer
    x = 1,814,044.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.