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Finding the Third Proportional to 363,735 and 790,434

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Solution

The third proportional to 363,735 and 790,434 is: 1,717,695.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,735 : 790,434 = 790,434 : x
  2. Step 2: Convert to fraction form
    363,735/790,434 = 790,434/x
  3. Step 3: Cross multiply
    363,735x = 790,434 × 790,434
  4. Step 4: Simplify right side
    363,735x = 624,785,908,356
  5. Step 5: Solve for x
    x = 624,785,908,356/363,735
  6. Step 6: Final answer
    x = 1,717,695.32

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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.