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Finding the Third Proportional to 647,512 and 980,298

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Solution

The third proportional to 647,512 and 980,298 is: 1,484,117.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,512 : 980,298 = 980,298 : x
  2. Step 2: Convert to fraction form
    647,512/980,298 = 980,298/x
  3. Step 3: Cross multiply
    647,512x = 980,298 × 980,298
  4. Step 4: Simplify right side
    647,512x = 960,984,168,804
  5. Step 5: Solve for x
    x = 960,984,168,804/647,512
  6. Step 6: Final answer
    x = 1,484,117.93

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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.