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Finding the Third Proportional to 308,308 and 672,496

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Solution

The third proportional to 308,308 and 672,496 is: 1,466,880.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,308 : 672,496 = 672,496 : x
  2. Step 2: Convert to fraction form
    308,308/672,496 = 672,496/x
  3. Step 3: Cross multiply
    308,308x = 672,496 × 672,496
  4. Step 4: Simplify right side
    308,308x = 452,250,870,016
  5. Step 5: Solve for x
    x = 452,250,870,016/308,308
  6. Step 6: Final answer
    x = 1,466,880.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.