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Finding the Third Proportional to 404,915.20 and 937,403.51

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Solution

The third proportional to 404,915.20 and 937,403.51 is: 2,170,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,915.20 : 937,403.51 = 937,403.51 : x
  2. Step 2: Convert to fraction form
    404,915.20/937,403.51 = 937,403.51/x
  3. Step 3: Cross multiply
    404,915.20x = 937,403.51 × 937,403.51
  4. Step 4: Simplify right side
    404,915.20x = 878,725,336,459.18
  5. Step 5: Solve for x
    x = 878,725,336,459.18/404,915.20
  6. Step 6: Final answer
    x = 2,170,146.56

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.