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Finding the Third Proportional to 537,713.25 and 825,369

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Solution

The third proportional to 537,713.25 and 825,369 is: 1,266,909.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,713.25 : 825,369 = 825,369 : x
  2. Step 2: Convert to fraction form
    537,713.25/825,369 = 825,369/x
  3. Step 3: Cross multiply
    537,713.25x = 825,369 × 825,369
  4. Step 4: Simplify right side
    537,713.25x = 681,233,986,161
  5. Step 5: Solve for x
    x = 681,233,986,161/537,713.25
  6. Step 6: Final answer
    x = 1,266,909.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.