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Finding the Third Proportional to 304,030.97 and 703,750.78

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Solution

The third proportional to 304,030.97 and 703,750.78 is: 1,628,995.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,030.97 : 703,750.78 = 703,750.78 : x
  2. Step 2: Convert to fraction form
    304,030.97/703,750.78 = 703,750.78/x
  3. Step 3: Cross multiply
    304,030.97x = 703,750.78 × 703,750.78
  4. Step 4: Simplify right side
    304,030.97x = 495,265,162,109.99
  5. Step 5: Solve for x
    x = 495,265,162,109.99/304,030.97
  6. Step 6: Final answer
    x = 1,628,995.77

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.