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Finding the Third Proportional to 304,760 and 464,878

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Solution

The third proportional to 304,760 and 464,878 is: 709,120.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,760 : 464,878 = 464,878 : x
  2. Step 2: Convert to fraction form
    304,760/464,878 = 464,878/x
  3. Step 3: Cross multiply
    304,760x = 464,878 × 464,878
  4. Step 4: Simplify right side
    304,760x = 216,111,554,884
  5. Step 5: Solve for x
    x = 216,111,554,884/304,760
  6. Step 6: Final answer
    x = 709,120.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.