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Finding the Third Proportional to 233,307 and 360,274.50

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Solution

The third proportional to 233,307 and 360,274.50 is: 556,338.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,307 : 360,274.50 = 360,274.50 : x
  2. Step 2: Convert to fraction form
    233,307/360,274.50 = 360,274.50/x
  3. Step 3: Cross multiply
    233,307x = 360,274.50 × 360,274.50
  4. Step 4: Simplify right side
    233,307x = 129,797,715,350.25
  5. Step 5: Solve for x
    x = 129,797,715,350.25/233,307
  6. Step 6: Final answer
    x = 556,338.71

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.