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Finding the Third Proportional to 295,866 and 646,974

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Solution

The third proportional to 295,866 and 646,974 is: 1,414,746.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,866 : 646,974 = 646,974 : x
  2. Step 2: Convert to fraction form
    295,866/646,974 = 646,974/x
  3. Step 3: Cross multiply
    295,866x = 646,974 × 646,974
  4. Step 4: Simplify right side
    295,866x = 418,575,356,676
  5. Step 5: Solve for x
    x = 418,575,356,676/295,866
  6. Step 6: Final answer
    x = 1,414,746.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.