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Finding the Third Proportional to 688,655.25 and 968,064.75

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Solution

The third proportional to 688,655.25 and 968,064.75 is: 1,360,839.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,655.25 : 968,064.75 = 968,064.75 : x
  2. Step 2: Convert to fraction form
    688,655.25/968,064.75 = 968,064.75/x
  3. Step 3: Cross multiply
    688,655.25x = 968,064.75 × 968,064.75
  4. Step 4: Simplify right side
    688,655.25x = 937,149,360,192.56
  5. Step 5: Solve for x
    x = 937,149,360,192.56/688,655.25
  6. Step 6: Final answer
    x = 1,360,839.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.