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Finding the Third Proportional to 304,062 and 476,981.25

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Solution

The third proportional to 304,062 and 476,981.25 is: 748,239.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,062 : 476,981.25 = 476,981.25 : x
  2. Step 2: Convert to fraction form
    304,062/476,981.25 = 476,981.25/x
  3. Step 3: Cross multiply
    304,062x = 476,981.25 × 476,981.25
  4. Step 4: Simplify right side
    304,062x = 227,511,112,851.56
  5. Step 5: Solve for x
    x = 227,511,112,851.56/304,062
  6. Step 6: Final answer
    x = 748,239.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.