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Finding the Third Proportional to 521,136 and 825,869.25

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Solution

The third proportional to 521,136 and 825,869.25 is: 1,308,794.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,136 : 825,869.25 = 825,869.25 : x
  2. Step 2: Convert to fraction form
    521,136/825,869.25 = 825,869.25/x
  3. Step 3: Cross multiply
    521,136x = 825,869.25 × 825,869.25
  4. Step 4: Simplify right side
    521,136x = 682,060,018,095.56
  5. Step 5: Solve for x
    x = 682,060,018,095.56/521,136
  6. Step 6: Final answer
    x = 1,308,794.67

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.