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Finding the Third Proportional to 647,277.75 and 1,015,384.50

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Solution

The third proportional to 647,277.75 and 1,015,384.50 is: 1,592,833.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,277.75 : 1,015,384.50 = 1,015,384.50 : x
  2. Step 2: Convert to fraction form
    647,277.75/1,015,384.50 = 1,015,384.50/x
  3. Step 3: Cross multiply
    647,277.75x = 1,015,384.50 × 1,015,384.50
  4. Step 4: Simplify right side
    647,277.75x = 1,031,005,682,840.25
  5. Step 5: Solve for x
    x = 1,031,005,682,840.25/647,277.75
  6. Step 6: Final answer
    x = 1,592,833.50

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.