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Finding the Third Proportional to 524,109 and 790,510.50

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Solution

The third proportional to 524,109 and 790,510.50 is: 1,192,322.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,109 : 790,510.50 = 790,510.50 : x
  2. Step 2: Convert to fraction form
    524,109/790,510.50 = 790,510.50/x
  3. Step 3: Cross multiply
    524,109x = 790,510.50 × 790,510.50
  4. Step 4: Simplify right side
    524,109x = 624,906,850,610.25
  5. Step 5: Solve for x
    x = 624,906,850,610.25/524,109
  6. Step 6: Final answer
    x = 1,192,322.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.