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Finding the Third Proportional to 382,082 and 783,316

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Solution

The third proportional to 382,082 and 783,316 is: 1,605,896.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,082 : 783,316 = 783,316 : x
  2. Step 2: Convert to fraction form
    382,082/783,316 = 783,316/x
  3. Step 3: Cross multiply
    382,082x = 783,316 × 783,316
  4. Step 4: Simplify right side
    382,082x = 613,583,955,856
  5. Step 5: Solve for x
    x = 613,583,955,856/382,082
  6. Step 6: Final answer
    x = 1,605,896.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.