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Finding the Third Proportional to 304,064 and 476,976

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Solution

The third proportional to 304,064 and 476,976 is: 748,217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,064 : 476,976 = 476,976 : x
  2. Step 2: Convert to fraction form
    304,064/476,976 = 476,976/x
  3. Step 3: Cross multiply
    304,064x = 476,976 × 476,976
  4. Step 4: Simplify right side
    304,064x = 227,506,104,576
  5. Step 5: Solve for x
    x = 227,506,104,576/304,064
  6. Step 6: Final answer
    x = 748,217.82

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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.