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Finding the Third Proportional to 664,827.75 and 968,132.25

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Solution

The third proportional to 664,827.75 and 968,132.25 is: 1,409,808.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,827.75 : 968,132.25 = 968,132.25 : x
  2. Step 2: Convert to fraction form
    664,827.75/968,132.25 = 968,132.25/x
  3. Step 3: Cross multiply
    664,827.75x = 968,132.25 × 968,132.25
  4. Step 4: Simplify right side
    664,827.75x = 937,280,053,490.06
  5. Step 5: Solve for x
    x = 937,280,053,490.06/664,827.75
  6. Step 6: Final answer
    x = 1,409,808.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.