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Finding the Third Proportional to 478,760 and 728,090

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Solution

The third proportional to 478,760 and 728,090 is: 1,107,266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,760 : 728,090 = 728,090 : x
  2. Step 2: Convert to fraction form
    478,760/728,090 = 728,090/x
  3. Step 3: Cross multiply
    478,760x = 728,090 × 728,090
  4. Step 4: Simplify right side
    478,760x = 530,115,048,100
  5. Step 5: Solve for x
    x = 530,115,048,100/478,760
  6. Step 6: Final answer
    x = 1,107,266.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.