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Finding the Third Proportional to 647,544 and 980,347.50

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Solution

The third proportional to 647,544 and 980,347.50 is: 1,484,194.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,544 : 980,347.50 = 980,347.50 : x
  2. Step 2: Convert to fraction form
    647,544/980,347.50 = 980,347.50/x
  3. Step 3: Cross multiply
    647,544x = 980,347.50 × 980,347.50
  4. Step 4: Simplify right side
    647,544x = 961,081,220,756.25
  5. Step 5: Solve for x
    x = 961,081,220,756.25/647,544
  6. Step 6: Final answer
    x = 1,484,194.47

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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.