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Finding the Third Proportional to 248,238 and 535,835

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Solution

The third proportional to 248,238 and 535,835 is: 1,156,628.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,238 : 535,835 = 535,835 : x
  2. Step 2: Convert to fraction form
    248,238/535,835 = 535,835/x
  3. Step 3: Cross multiply
    248,238x = 535,835 × 535,835
  4. Step 4: Simplify right side
    248,238x = 287,119,147,225
  5. Step 5: Solve for x
    x = 287,119,147,225/248,238
  6. Step 6: Final answer
    x = 1,156,628.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.