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Finding the Third Proportional to 527,593.50 and 816,606

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Solution

The third proportional to 527,593.50 and 816,606 is: 1,263,937.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,593.50 : 816,606 = 816,606 : x
  2. Step 2: Convert to fraction form
    527,593.50/816,606 = 816,606/x
  3. Step 3: Cross multiply
    527,593.50x = 816,606 × 816,606
  4. Step 4: Simplify right side
    527,593.50x = 666,845,359,236
  5. Step 5: Solve for x
    x = 666,845,359,236/527,593.50
  6. Step 6: Final answer
    x = 1,263,937.78

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