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Finding the Third Proportional to 248,994 and 540,209.25

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Solution

The third proportional to 248,994 and 540,209.25 is: 1,172,020.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,994 : 540,209.25 = 540,209.25 : x
  2. Step 2: Convert to fraction form
    248,994/540,209.25 = 540,209.25/x
  3. Step 3: Cross multiply
    248,994x = 540,209.25 × 540,209.25
  4. Step 4: Simplify right side
    248,994x = 291,826,033,785.56
  5. Step 5: Solve for x
    x = 291,826,033,785.56/248,994
  6. Step 6: Final answer
    x = 1,172,020.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.