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Finding the Third Proportional to 352,938 and 532,697.63

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Solution

The third proportional to 352,938 and 532,697.63 is: 804,013.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,938 : 532,697.63 = 532,697.63 : x
  2. Step 2: Convert to fraction form
    352,938/532,697.63 = 532,697.63/x
  3. Step 3: Cross multiply
    352,938x = 532,697.63 × 532,697.63
  4. Step 4: Simplify right side
    352,938x = 283,766,759,680.64
  5. Step 5: Solve for x
    x = 283,766,759,680.64/352,938
  6. Step 6: Final answer
    x = 804,013.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.