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Finding the Third Proportional to 295,296.75 and 644,721.75

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Solution

The third proportional to 295,296.75 and 644,721.75 is: 1,407,621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,296.75 : 644,721.75 = 644,721.75 : x
  2. Step 2: Convert to fraction form
    295,296.75/644,721.75 = 644,721.75/x
  3. Step 3: Cross multiply
    295,296.75x = 644,721.75 × 644,721.75
  4. Step 4: Simplify right side
    295,296.75x = 415,666,134,923.06
  5. Step 5: Solve for x
    x = 415,666,134,923.06/295,296.75
  6. Step 6: Final answer
    x = 1,407,621.77

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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.