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Finding the Third Proportional to 647,374.50 and 980,059.50

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Solution

The third proportional to 647,374.50 and 980,059.50 is: 1,483,710.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,374.50 : 980,059.50 = 980,059.50 : x
  2. Step 2: Convert to fraction form
    647,374.50/980,059.50 = 980,059.50/x
  3. Step 3: Cross multiply
    647,374.50x = 980,059.50 × 980,059.50
  4. Step 4: Simplify right side
    647,374.50x = 960,516,623,540.25
  5. Step 5: Solve for x
    x = 960,516,623,540.25/647,374.50
  6. Step 6: Final answer
    x = 1,483,710.93

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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.