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Finding the Third Proportional to 400,940 and 616,526

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Solution

The third proportional to 400,940 and 616,526 is: 948,032.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,940 : 616,526 = 616,526 : x
  2. Step 2: Convert to fraction form
    400,940/616,526 = 616,526/x
  3. Step 3: Cross multiply
    400,940x = 616,526 × 616,526
  4. Step 4: Simplify right side
    400,940x = 380,104,308,676
  5. Step 5: Solve for x
    x = 380,104,308,676/400,940
  6. Step 6: Final answer
    x = 948,032.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.