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Finding the Third Proportional to 295,260 and 433,048

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Solution

The third proportional to 295,260 and 433,048 is: 635,137.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,260 : 433,048 = 433,048 : x
  2. Step 2: Convert to fraction form
    295,260/433,048 = 433,048/x
  3. Step 3: Cross multiply
    295,260x = 433,048 × 433,048
  4. Step 4: Simplify right side
    295,260x = 187,530,570,304
  5. Step 5: Solve for x
    x = 187,530,570,304/295,260
  6. Step 6: Final answer
    x = 635,137.07

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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.