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Finding the Third Proportional to 253,852.63 and 557,530.63

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Solution

The third proportional to 253,852.63 and 557,530.63 is: 1,224,491.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,852.63 : 557,530.63 = 557,530.63 : x
  2. Step 2: Convert to fraction form
    253,852.63/557,530.63 = 557,530.63/x
  3. Step 3: Cross multiply
    253,852.63x = 557,530.63 × 557,530.63
  4. Step 4: Simplify right side
    253,852.63x = 310,840,397,812.89
  5. Step 5: Solve for x
    x = 310,840,397,812.89/253,852.63
  6. Step 6: Final answer
    x = 1,224,491.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.