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Finding the Third Proportional to 295,324 and 603,102

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Solution

The third proportional to 295,324 and 603,102 is: 1,231,637.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,324 : 603,102 = 603,102 : x
  2. Step 2: Convert to fraction form
    295,324/603,102 = 603,102/x
  3. Step 3: Cross multiply
    295,324x = 603,102 × 603,102
  4. Step 4: Simplify right side
    295,324x = 363,732,022,404
  5. Step 5: Solve for x
    x = 363,732,022,404/295,324
  6. Step 6: Final answer
    x = 1,231,637.19

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.