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Finding the Third Proportional to 304,564 and 701,938

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Solution

The third proportional to 304,564 and 701,938 is: 1,617,778.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,564 : 701,938 = 701,938 : x
  2. Step 2: Convert to fraction form
    304,564/701,938 = 701,938/x
  3. Step 3: Cross multiply
    304,564x = 701,938 × 701,938
  4. Step 4: Simplify right side
    304,564x = 492,716,955,844
  5. Step 5: Solve for x
    x = 492,716,955,844/304,564
  6. Step 6: Final answer
    x = 1,617,778.06

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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.