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Finding the Third Proportional to 250,612.50 and 540,347.25

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Solution

The third proportional to 250,612.50 and 540,347.25 is: 1,165,046.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,612.50 : 540,347.25 = 540,347.25 : x
  2. Step 2: Convert to fraction form
    250,612.50/540,347.25 = 540,347.25/x
  3. Step 3: Cross multiply
    250,612.50x = 540,347.25 × 540,347.25
  4. Step 4: Simplify right side
    250,612.50x = 291,975,150,582.56
  5. Step 5: Solve for x
    x = 291,975,150,582.56/250,612.50
  6. Step 6: Final answer
    x = 1,165,046.24

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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.