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Finding the Third Proportional to 386,935.50 and 801,210

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Solution

The third proportional to 386,935.50 and 801,210 is: 1,659,029.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,935.50 : 801,210 = 801,210 : x
  2. Step 2: Convert to fraction form
    386,935.50/801,210 = 801,210/x
  3. Step 3: Cross multiply
    386,935.50x = 801,210 × 801,210
  4. Step 4: Simplify right side
    386,935.50x = 641,937,464,100
  5. Step 5: Solve for x
    x = 641,937,464,100/386,935.50
  6. Step 6: Final answer
    x = 1,659,029.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.