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Finding the Third Proportional to 647,371 and 980,053.50

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Solution

The third proportional to 647,371 and 980,053.50 is: 1,483,700.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,371 : 980,053.50 = 980,053.50 : x
  2. Step 2: Convert to fraction form
    647,371/980,053.50 = 980,053.50/x
  3. Step 3: Cross multiply
    647,371x = 980,053.50 × 980,053.50
  4. Step 4: Simplify right side
    647,371x = 960,504,862,862.25
  5. Step 5: Solve for x
    x = 960,504,862,862.25/647,371
  6. Step 6: Final answer
    x = 1,483,700.79

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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.