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Finding the Third Proportional to 470,760 and 720,268

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Solution

The third proportional to 470,760 and 720,268 is: 1,102,018.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,760 : 720,268 = 720,268 : x
  2. Step 2: Convert to fraction form
    470,760/720,268 = 720,268/x
  3. Step 3: Cross multiply
    470,760x = 720,268 × 720,268
  4. Step 4: Simplify right side
    470,760x = 518,785,991,824
  5. Step 5: Solve for x
    x = 518,785,991,824/470,760
  6. Step 6: Final answer
    x = 1,102,018.00

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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.