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Finding the Third Proportional to 657,758 and 984,000

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Solution

The third proportional to 657,758 and 984,000 is: 1,472,055.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,758 : 984,000 = 984,000 : x
  2. Step 2: Convert to fraction form
    657,758/984,000 = 984,000/x
  3. Step 3: Cross multiply
    657,758x = 984,000 × 984,000
  4. Step 4: Simplify right side
    657,758x = 968,256,000,000
  5. Step 5: Solve for x
    x = 968,256,000,000/657,758
  6. Step 6: Final answer
    x = 1,472,055.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.