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Finding the Third Proportional to 250,607.25 and 540,337.50

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Solution

The third proportional to 250,607.25 and 540,337.50 is: 1,165,028.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,607.25 : 540,337.50 = 540,337.50 : x
  2. Step 2: Convert to fraction form
    250,607.25/540,337.50 = 540,337.50/x
  3. Step 3: Cross multiply
    250,607.25x = 540,337.50 × 540,337.50
  4. Step 4: Simplify right side
    250,607.25x = 291,964,613,906.25
  5. Step 5: Solve for x
    x = 291,964,613,906.25/250,607.25
  6. Step 6: Final answer
    x = 1,165,028.60

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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.