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Finding the Third Proportional to 304,773 and 700,937.25

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Solution

The third proportional to 304,773 and 700,937.25 is: 1,612,062.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,773 : 700,937.25 = 700,937.25 : x
  2. Step 2: Convert to fraction form
    304,773/700,937.25 = 700,937.25/x
  3. Step 3: Cross multiply
    304,773x = 700,937.25 × 700,937.25
  4. Step 4: Simplify right side
    304,773x = 491,313,028,437.56
  5. Step 5: Solve for x
    x = 491,313,028,437.56/304,773
  6. Step 6: Final answer
    x = 1,612,062.19

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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.