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Finding the Third Proportional to 540,997.73 and 841,028.70

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Solution

The third proportional to 540,997.73 and 841,028.70 is: 1,307,453.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,997.73 : 841,028.70 = 841,028.70 : x
  2. Step 2: Convert to fraction form
    540,997.73/841,028.70 = 841,028.70/x
  3. Step 3: Cross multiply
    540,997.73x = 841,028.70 × 841,028.70
  4. Step 4: Simplify right side
    540,997.73x = 707,329,266,339.05
  5. Step 5: Solve for x
    x = 707,329,266,339.05/540,997.73
  6. Step 6: Final answer
    x = 1,307,453.29

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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.