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Finding the Third Proportional to 253,684 and 390,063

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Solution

The third proportional to 253,684 and 390,063 is: 599,758.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,684 : 390,063 = 390,063 : x
  2. Step 2: Convert to fraction form
    253,684/390,063 = 390,063/x
  3. Step 3: Cross multiply
    253,684x = 390,063 × 390,063
  4. Step 4: Simplify right side
    253,684x = 152,149,143,969
  5. Step 5: Solve for x
    x = 152,149,143,969/253,684
  6. Step 6: Final answer
    x = 599,758.53

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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.