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Finding the Third Proportional to 250,609.50 and 540,340.50

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Solution

The third proportional to 250,609.50 and 540,340.50 is: 1,165,031.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,609.50 : 540,340.50 = 540,340.50 : x
  2. Step 2: Convert to fraction form
    250,609.50/540,340.50 = 540,340.50/x
  3. Step 3: Cross multiply
    250,609.50x = 540,340.50 × 540,340.50
  4. Step 4: Simplify right side
    250,609.50x = 291,967,855,940.25
  5. Step 5: Solve for x
    x = 291,967,855,940.25/250,609.50
  6. Step 6: Final answer
    x = 1,165,031.08

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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.