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Finding the Third Proportional to 319,148.86 and 691,485.61

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Solution

The third proportional to 319,148.86 and 691,485.61 is: 1,498,211.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,148.86 : 691,485.61 = 691,485.61 : x
  2. Step 2: Convert to fraction form
    319,148.86/691,485.61 = 691,485.61/x
  3. Step 3: Cross multiply
    319,148.86x = 691,485.61 × 691,485.61
  4. Step 4: Simplify right side
    319,148.86x = 478,152,347,972.72
  5. Step 5: Solve for x
    x = 478,152,347,972.72/319,148.86
  6. Step 6: Final answer
    x = 1,498,211.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.