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Finding the Third Proportional to 298,628.02 and 647,067.23

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Solution

The third proportional to 298,628.02 and 647,067.23 is: 1,402,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,628.02 : 647,067.23 = 647,067.23 : x
  2. Step 2: Convert to fraction form
    298,628.02/647,067.23 = 647,067.23/x
  3. Step 3: Cross multiply
    298,628.02x = 647,067.23 × 647,067.23
  4. Step 4: Simplify right side
    298,628.02x = 418,696,005,801.71
  5. Step 5: Solve for x
    x = 418,696,005,801.71/298,628.02
  6. Step 6: Final answer
    x = 1,402,065.39

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.