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Finding the Third Proportional to 282,616 and 614,316

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Solution

The third proportional to 282,616 and 614,316 is: 1,335,324.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,616 : 614,316 = 614,316 : x
  2. Step 2: Convert to fraction form
    282,616/614,316 = 614,316/x
  3. Step 3: Cross multiply
    282,616x = 614,316 × 614,316
  4. Step 4: Simplify right side
    282,616x = 377,384,147,856
  5. Step 5: Solve for x
    x = 377,384,147,856/282,616
  6. Step 6: Final answer
    x = 1,335,324.78

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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.