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Finding the Third Proportional to 331,933 and 720,066

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Solution

The third proportional to 331,933 and 720,066 is: 1,562,047.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,933 : 720,066 = 720,066 : x
  2. Step 2: Convert to fraction form
    331,933/720,066 = 720,066/x
  3. Step 3: Cross multiply
    331,933x = 720,066 × 720,066
  4. Step 4: Simplify right side
    331,933x = 518,495,044,356
  5. Step 5: Solve for x
    x = 518,495,044,356/331,933
  6. Step 6: Final answer
    x = 1,562,047.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.