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Finding the Third Proportional to 941,575.50 and 1,208,963.25

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Solution

The third proportional to 941,575.50 and 1,208,963.25 is: 1,552,283.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    941,575.50 : 1,208,963.25 = 1,208,963.25 : x
  2. Step 2: Convert to fraction form
    941,575.50/1,208,963.25 = 1,208,963.25/x
  3. Step 3: Cross multiply
    941,575.50x = 1,208,963.25 × 1,208,963.25
  4. Step 4: Simplify right side
    941,575.50x = 1,461,592,139,850.56
  5. Step 5: Solve for x
    x = 1,461,592,139,850.56/941,575.50
  6. Step 6: Final answer
    x = 1,552,283.53

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.