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Finding the Third Proportional to 385,513 and 835,382

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Solution

The third proportional to 385,513 and 835,382 is: 1,810,219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,513 : 835,382 = 835,382 : x
  2. Step 2: Convert to fraction form
    385,513/835,382 = 835,382/x
  3. Step 3: Cross multiply
    385,513x = 835,382 × 835,382
  4. Step 4: Simplify right side
    385,513x = 697,863,085,924
  5. Step 5: Solve for x
    x = 697,863,085,924/385,513
  6. Step 6: Final answer
    x = 1,810,219.33

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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.