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Finding the Third Proportional to 253,570.50 and 535,434.75

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Solution

The third proportional to 253,570.50 and 535,434.75 is: 1,130,614.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,570.50 : 535,434.75 = 535,434.75 : x
  2. Step 2: Convert to fraction form
    253,570.50/535,434.75 = 535,434.75/x
  3. Step 3: Cross multiply
    253,570.50x = 535,434.75 × 535,434.75
  4. Step 4: Simplify right side
    253,570.50x = 286,690,371,507.56
  5. Step 5: Solve for x
    x = 286,690,371,507.56/253,570.50
  6. Step 6: Final answer
    x = 1,130,614.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.