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Finding the Third Proportional to 647,364.88 and 980,044.31

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Solution

The third proportional to 647,364.88 and 980,044.31 is: 1,483,687.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,364.88 : 980,044.31 = 980,044.31 : x
  2. Step 2: Convert to fraction form
    647,364.88/980,044.31 = 980,044.31/x
  3. Step 3: Cross multiply
    647,364.88x = 980,044.31 × 980,044.31
  4. Step 4: Simplify right side
    647,364.88x = 960,486,854,463.60
  5. Step 5: Solve for x
    x = 960,486,854,463.60/647,364.88
  6. Step 6: Final answer
    x = 1,483,687.01

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Why These Related Problems?

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