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Finding the Third Proportional to 647,242 and 970,862.50

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Solution

The third proportional to 647,242 and 970,862.50 is: 1,456,293.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,242 : 970,862.50 = 970,862.50 : x
  2. Step 2: Convert to fraction form
    647,242/970,862.50 = 970,862.50/x
  3. Step 3: Cross multiply
    647,242x = 970,862.50 × 970,862.50
  4. Step 4: Simplify right side
    647,242x = 942,573,993,906.25
  5. Step 5: Solve for x
    x = 942,573,993,906.25/647,242
  6. Step 6: Final answer
    x = 1,456,293.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.