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Finding the Third Proportional to 319,238 and 476,088

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Solution

The third proportional to 319,238 and 476,088 is: 710,002.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,238 : 476,088 = 476,088 : x
  2. Step 2: Convert to fraction form
    319,238/476,088 = 476,088/x
  3. Step 3: Cross multiply
    319,238x = 476,088 × 476,088
  4. Step 4: Simplify right side
    319,238x = 226,659,783,744
  5. Step 5: Solve for x
    x = 226,659,783,744/319,238
  6. Step 6: Final answer
    x = 710,002.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.