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Finding the Third Proportional to 331,535 and 723,798

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Solution

The third proportional to 331,535 and 723,798 is: 1,580,175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,535 : 723,798 = 723,798 : x
  2. Step 2: Convert to fraction form
    331,535/723,798 = 723,798/x
  3. Step 3: Cross multiply
    331,535x = 723,798 × 723,798
  4. Step 4: Simplify right side
    331,535x = 523,883,544,804
  5. Step 5: Solve for x
    x = 523,883,544,804/331,535
  6. Step 6: Final answer
    x = 1,580,175.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.