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Finding the Third Proportional to 295,974 and 647,301.38

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Solution

The third proportional to 295,974 and 647,301.38 is: 1,415,661.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,974 : 647,301.38 = 647,301.38 : x
  2. Step 2: Convert to fraction form
    295,974/647,301.38 = 647,301.38/x
  3. Step 3: Cross multiply
    295,974x = 647,301.38 × 647,301.38
  4. Step 4: Simplify right side
    295,974x = 418,999,070,076.89
  5. Step 5: Solve for x
    x = 418,999,070,076.89/295,974
  6. Step 6: Final answer
    x = 1,415,661.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.