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Finding the Third Proportional to 248,788.13 and 533,074.50

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Solution

The third proportional to 248,788.13 and 533,074.50 is: 1,142,210.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,788.13 : 533,074.50 = 533,074.50 : x
  2. Step 2: Convert to fraction form
    248,788.13/533,074.50 = 533,074.50/x
  3. Step 3: Cross multiply
    248,788.13x = 533,074.50 × 533,074.50
  4. Step 4: Simplify right side
    248,788.13x = 284,168,422,550.25
  5. Step 5: Solve for x
    x = 284,168,422,550.25/248,788.13
  6. Step 6: Final answer
    x = 1,142,210.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.