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Finding the Third Proportional to 303,472 and 664,994

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Solution

The third proportional to 303,472 and 664,994 is: 1,457,192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,472 : 664,994 = 664,994 : x
  2. Step 2: Convert to fraction form
    303,472/664,994 = 664,994/x
  3. Step 3: Cross multiply
    303,472x = 664,994 × 664,994
  4. Step 4: Simplify right side
    303,472x = 442,217,020,036
  5. Step 5: Solve for x
    x = 442,217,020,036/303,472
  6. Step 6: Final answer
    x = 1,457,192.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.