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Finding the Third Proportional to 541,089 and 841,105.50

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Solution

The third proportional to 541,089 and 841,105.50 is: 1,307,471.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,089 : 841,105.50 = 841,105.50 : x
  2. Step 2: Convert to fraction form
    541,089/841,105.50 = 841,105.50/x
  3. Step 3: Cross multiply
    541,089x = 841,105.50 × 841,105.50
  4. Step 4: Simplify right side
    541,089x = 707,458,462,130.25
  5. Step 5: Solve for x
    x = 707,458,462,130.25/541,089
  6. Step 6: Final answer
    x = 1,307,471.53

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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.