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Finding the Third Proportional to 385,540 and 835,440

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Solution

The third proportional to 385,540 and 835,440 is: 1,810,343.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,540 : 835,440 = 835,440 : x
  2. Step 2: Convert to fraction form
    385,540/835,440 = 835,440/x
  3. Step 3: Cross multiply
    385,540x = 835,440 × 835,440
  4. Step 4: Simplify right side
    385,540x = 697,959,993,600
  5. Step 5: Solve for x
    x = 697,959,993,600/385,540
  6. Step 6: Final answer
    x = 1,810,343.92

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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.