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Finding the Third Proportional to 248,473 and 536,288

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Solution

The third proportional to 248,473 and 536,288 is: 1,157,489.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,473 : 536,288 = 536,288 : x
  2. Step 2: Convert to fraction form
    248,473/536,288 = 536,288/x
  3. Step 3: Cross multiply
    248,473x = 536,288 × 536,288
  4. Step 4: Simplify right side
    248,473x = 287,604,818,944
  5. Step 5: Solve for x
    x = 287,604,818,944/248,473
  6. Step 6: Final answer
    x = 1,157,489.22

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Why These Related Problems?

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