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Finding the Third Proportional to 248,952 and 536,496

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Solution

The third proportional to 248,952 and 536,496 is: 1,156,158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,952 : 536,496 = 536,496 : x
  2. Step 2: Convert to fraction form
    248,952/536,496 = 536,496/x
  3. Step 3: Cross multiply
    248,952x = 536,496 × 536,496
  4. Step 4: Simplify right side
    248,952x = 287,827,958,016
  5. Step 5: Solve for x
    x = 287,827,958,016/248,952
  6. Step 6: Final answer
    x = 1,156,158.45

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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.