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Finding the Third Proportional to 689,404.50 and 1,029,935.25

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Solution

The third proportional to 689,404.50 and 1,029,935.25 is: 1,538,670.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,404.50 : 1,029,935.25 = 1,029,935.25 : x
  2. Step 2: Convert to fraction form
    689,404.50/1,029,935.25 = 1,029,935.25/x
  3. Step 3: Cross multiply
    689,404.50x = 1,029,935.25 × 1,029,935.25
  4. Step 4: Simplify right side
    689,404.50x = 1,060,766,619,192.56
  5. Step 5: Solve for x
    x = 1,060,766,619,192.56/689,404.50
  6. Step 6: Final answer
    x = 1,538,670.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.