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Finding the Third Proportional to 319,820.27 and 689,463.14

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Solution

The third proportional to 319,820.27 and 689,463.14 is: 1,486,332.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,820.27 : 689,463.14 = 689,463.14 : x
  2. Step 2: Convert to fraction form
    319,820.27/689,463.14 = 689,463.14/x
  3. Step 3: Cross multiply
    319,820.27x = 689,463.14 × 689,463.14
  4. Step 4: Simplify right side
    319,820.27x = 475,359,422,280.49
  5. Step 5: Solve for x
    x = 475,359,422,280.49/319,820.27
  6. Step 6: Final answer
    x = 1,486,332.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.