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Finding the Third Proportional to 248,473.50 and 536,288.50

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Solution

The third proportional to 248,473.50 and 536,288.50 is: 1,157,489.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,473.50 : 536,288.50 = 536,288.50 : x
  2. Step 2: Convert to fraction form
    248,473.50/536,288.50 = 536,288.50/x
  3. Step 3: Cross multiply
    248,473.50x = 536,288.50 × 536,288.50
  4. Step 4: Simplify right side
    248,473.50x = 287,605,355,232.25
  5. Step 5: Solve for x
    x = 287,605,355,232.25/248,473.50
  6. Step 6: Final answer
    x = 1,157,489.05

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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.