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Finding the Third Proportional to 319,235.06 and 476,084.25

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Solution

The third proportional to 319,235.06 and 476,084.25 is: 709,997.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,235.06 : 476,084.25 = 476,084.25 : x
  2. Step 2: Convert to fraction form
    319,235.06/476,084.25 = 476,084.25/x
  3. Step 3: Cross multiply
    319,235.06x = 476,084.25 × 476,084.25
  4. Step 4: Simplify right side
    319,235.06x = 226,656,213,098.06
  5. Step 5: Solve for x
    x = 226,656,213,098.06/319,235.06
  6. Step 6: Final answer
    x = 709,997.87

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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.