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Finding the Third Proportional to 253,527 and 389,723.25

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Solution

The third proportional to 253,527 and 389,723.25 is: 599,084.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,527 : 389,723.25 = 389,723.25 : x
  2. Step 2: Convert to fraction form
    253,527/389,723.25 = 389,723.25/x
  3. Step 3: Cross multiply
    253,527x = 389,723.25 × 389,723.25
  4. Step 4: Simplify right side
    253,527x = 151,884,211,590.56
  5. Step 5: Solve for x
    x = 151,884,211,590.56/253,527
  6. Step 6: Final answer
    x = 599,084.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.