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Finding the Third Proportional to 362,354 and 787,136

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Solution

The third proportional to 362,354 and 787,136 is: 1,709,883.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,354 : 787,136 = 787,136 : x
  2. Step 2: Convert to fraction form
    362,354/787,136 = 787,136/x
  3. Step 3: Cross multiply
    362,354x = 787,136 × 787,136
  4. Step 4: Simplify right side
    362,354x = 619,583,082,496
  5. Step 5: Solve for x
    x = 619,583,082,496/362,354
  6. Step 6: Final answer
    x = 1,709,883.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.