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Finding the Third Proportional to 640,251 and 964,598.63

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Solution

The third proportional to 640,251 and 964,598.63 is: 1,453,258.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,251 : 964,598.63 = 964,598.63 : x
  2. Step 2: Convert to fraction form
    640,251/964,598.63 = 964,598.63/x
  3. Step 3: Cross multiply
    640,251x = 964,598.63 × 964,598.63
  4. Step 4: Simplify right side
    640,251x = 930,450,507,351.89
  5. Step 5: Solve for x
    x = 930,450,507,351.89/640,251
  6. Step 6: Final answer
    x = 1,453,258.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.