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Finding the Third Proportional to 507,068 and 759,022

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Solution

The third proportional to 507,068 and 759,022 is: 1,136,167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,068 : 759,022 = 759,022 : x
  2. Step 2: Convert to fraction form
    507,068/759,022 = 759,022/x
  3. Step 3: Cross multiply
    507,068x = 759,022 × 759,022
  4. Step 4: Simplify right side
    507,068x = 576,114,396,484
  5. Step 5: Solve for x
    x = 576,114,396,484/507,068
  6. Step 6: Final answer
    x = 1,136,167.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.