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Finding the Third Proportional to 295,252 and 433,036

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Solution

The third proportional to 295,252 and 433,036 is: 635,119.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,252 : 433,036 = 433,036 : x
  2. Step 2: Convert to fraction form
    295,252/433,036 = 433,036/x
  3. Step 3: Cross multiply
    295,252x = 433,036 × 433,036
  4. Step 4: Simplify right side
    295,252x = 187,520,177,296
  5. Step 5: Solve for x
    x = 187,520,177,296/295,252
  6. Step 6: Final answer
    x = 635,119.08

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.