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Finding the Third Proportional to 290,770 and 616,716

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Solution

The third proportional to 290,770 and 616,716 is: 1,308,039.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,770 : 616,716 = 616,716 : x
  2. Step 2: Convert to fraction form
    290,770/616,716 = 616,716/x
  3. Step 3: Cross multiply
    290,770x = 616,716 × 616,716
  4. Step 4: Simplify right side
    290,770x = 380,338,624,656
  5. Step 5: Solve for x
    x = 380,338,624,656/290,770
  6. Step 6: Final answer
    x = 1,308,039.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.