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Finding the Third Proportional to 470,606 and 720,028

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Solution

The third proportional to 470,606 and 720,028 is: 1,101,644.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,606 : 720,028 = 720,028 : x
  2. Step 2: Convert to fraction form
    470,606/720,028 = 720,028/x
  3. Step 3: Cross multiply
    470,606x = 720,028 × 720,028
  4. Step 4: Simplify right side
    470,606x = 518,440,320,784
  5. Step 5: Solve for x
    x = 518,440,320,784/470,606
  6. Step 6: Final answer
    x = 1,101,644.09

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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.