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Finding the Third Proportional to 404,724 and 613,136

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Solution

The third proportional to 404,724 and 613,136 is: 928,869.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,724 : 613,136 = 613,136 : x
  2. Step 2: Convert to fraction form
    404,724/613,136 = 613,136/x
  3. Step 3: Cross multiply
    404,724x = 613,136 × 613,136
  4. Step 4: Simplify right side
    404,724x = 375,935,754,496
  5. Step 5: Solve for x
    x = 375,935,754,496/404,724
  6. Step 6: Final answer
    x = 928,869.44

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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.