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Finding the Third Proportional to 248,466 and 536,271

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Solution

The third proportional to 248,466 and 536,271 is: 1,157,448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,466 : 536,271 = 536,271 : x
  2. Step 2: Convert to fraction form
    248,466/536,271 = 536,271/x
  3. Step 3: Cross multiply
    248,466x = 536,271 × 536,271
  4. Step 4: Simplify right side
    248,466x = 287,586,585,441
  5. Step 5: Solve for x
    x = 287,586,585,441/248,466
  6. Step 6: Final answer
    x = 1,157,448.45

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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.