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Finding the Third Proportional to 319,145.06 and 691,479.28

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Solution

The third proportional to 319,145.06 and 691,479.28 is: 1,498,201.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,145.06 : 691,479.28 = 691,479.28 : x
  2. Step 2: Convert to fraction form
    319,145.06/691,479.28 = 691,479.28/x
  3. Step 3: Cross multiply
    319,145.06x = 691,479.28 × 691,479.28
  4. Step 4: Simplify right side
    319,145.06x = 478,143,596,398.02
  5. Step 5: Solve for x
    x = 478,143,596,398.02/319,145.06
  6. Step 6: Final answer
    x = 1,498,201.45

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