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Finding the Third Proportional to 254,620.50 and 553,031.25

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Solution

The third proportional to 254,620.50 and 553,031.25 is: 1,201,174.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,620.50 : 553,031.25 = 553,031.25 : x
  2. Step 2: Convert to fraction form
    254,620.50/553,031.25 = 553,031.25/x
  3. Step 3: Cross multiply
    254,620.50x = 553,031.25 × 553,031.25
  4. Step 4: Simplify right side
    254,620.50x = 305,843,563,476.56
  5. Step 5: Solve for x
    x = 305,843,563,476.56/254,620.50
  6. Step 6: Final answer
    x = 1,201,174.15

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Why These Related Problems?

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