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Finding the Third Proportional to 248,727.38 and 532,941.75

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Solution

The third proportional to 248,727.38 and 532,941.75 is: 1,141,920.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,727.38 : 532,941.75 = 532,941.75 : x
  2. Step 2: Convert to fraction form
    248,727.38/532,941.75 = 532,941.75/x
  3. Step 3: Cross multiply
    248,727.38x = 532,941.75 × 532,941.75
  4. Step 4: Simplify right side
    248,727.38x = 284,026,908,893.06
  5. Step 5: Solve for x
    x = 284,026,908,893.06/248,727.38
  6. Step 6: Final answer
    x = 1,141,920.58

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.