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Finding the Third Proportional to 398,076 and 833,028

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Solution

The third proportional to 398,076 and 833,028 is: 1,743,224.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,076 : 833,028 = 833,028 : x
  2. Step 2: Convert to fraction form
    398,076/833,028 = 833,028/x
  3. Step 3: Cross multiply
    398,076x = 833,028 × 833,028
  4. Step 4: Simplify right side
    398,076x = 693,935,648,784
  5. Step 5: Solve for x
    x = 693,935,648,784/398,076
  6. Step 6: Final answer
    x = 1,743,224.03

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.