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Finding the Third Proportional to 295,068 and 432,918.75

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Solution

The third proportional to 295,068 and 432,918.75 is: 635,171.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,068 : 432,918.75 = 432,918.75 : x
  2. Step 2: Convert to fraction form
    295,068/432,918.75 = 432,918.75/x
  3. Step 3: Cross multiply
    295,068x = 432,918.75 × 432,918.75
  4. Step 4: Simplify right side
    295,068x = 187,418,644,101.56
  5. Step 5: Solve for x
    x = 187,418,644,101.56/295,068
  6. Step 6: Final answer
    x = 635,171.03

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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.