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Finding the Third Proportional to 312,024 and 608,496

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Solution

The third proportional to 312,024 and 608,496 is: 1,186,663.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,024 : 608,496 = 608,496 : x
  2. Step 2: Convert to fraction form
    312,024/608,496 = 608,496/x
  3. Step 3: Cross multiply
    312,024x = 608,496 × 608,496
  4. Step 4: Simplify right side
    312,024x = 370,267,382,016
  5. Step 5: Solve for x
    x = 370,267,382,016/312,024
  6. Step 6: Final answer
    x = 1,186,663.15

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.