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Finding the Third Proportional to 248,460 and 536,472

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Solution

The third proportional to 248,460 and 536,472 is: 1,158,344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,460 : 536,472 = 536,472 : x
  2. Step 2: Convert to fraction form
    248,460/536,472 = 536,472/x
  3. Step 3: Cross multiply
    248,460x = 536,472 × 536,472
  4. Step 4: Simplify right side
    248,460x = 287,802,206,784
  5. Step 5: Solve for x
    x = 287,802,206,784/248,460
  6. Step 6: Final answer
    x = 1,158,344.23

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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.