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Finding the Third Proportional to 248,652.50 and 536,617

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Solution

The third proportional to 248,652.50 and 536,617 is: 1,158,073.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,652.50 : 536,617 = 536,617 : x
  2. Step 2: Convert to fraction form
    248,652.50/536,617 = 536,617/x
  3. Step 3: Cross multiply
    248,652.50x = 536,617 × 536,617
  4. Step 4: Simplify right side
    248,652.50x = 287,957,804,689
  5. Step 5: Solve for x
    x = 287,957,804,689/248,652.50
  6. Step 6: Final answer
    x = 1,158,073.23

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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.