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Finding the Third Proportional to 304,568 and 701,948

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Solution

The third proportional to 304,568 and 701,948 is: 1,617,802.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,568 : 701,948 = 701,948 : x
  2. Step 2: Convert to fraction form
    304,568/701,948 = 701,948/x
  3. Step 3: Cross multiply
    304,568x = 701,948 × 701,948
  4. Step 4: Simplify right side
    304,568x = 492,730,994,704
  5. Step 5: Solve for x
    x = 492,730,994,704/304,568
  6. Step 6: Final answer
    x = 1,617,802.90

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.