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Finding the Third Proportional to 250,441 and 540,338

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Solution

The third proportional to 250,441 and 540,338 is: 1,165,804.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,441 : 540,338 = 540,338 : x
  2. Step 2: Convert to fraction form
    250,441/540,338 = 540,338/x
  3. Step 3: Cross multiply
    250,441x = 540,338 × 540,338
  4. Step 4: Simplify right side
    250,441x = 291,965,154,244
  5. Step 5: Solve for x
    x = 291,965,154,244/250,441
  6. Step 6: Final answer
    x = 1,165,804.14

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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.