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Finding the Third Proportional to 638,084.25 and 988,496.25

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Solution

The third proportional to 638,084.25 and 988,496.25 is: 1,531,341.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,084.25 : 988,496.25 = 988,496.25 : x
  2. Step 2: Convert to fraction form
    638,084.25/988,496.25 = 988,496.25/x
  3. Step 3: Cross multiply
    638,084.25x = 988,496.25 × 988,496.25
  4. Step 4: Simplify right side
    638,084.25x = 977,124,836,264.06
  5. Step 5: Solve for x
    x = 977,124,836,264.06/638,084.25
  6. Step 6: Final answer
    x = 1,531,341.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.