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Finding the Third Proportional to 340,005.38 and 530,683.88

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Solution

The third proportional to 340,005.38 and 530,683.88 is: 828,296.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,005.38 : 530,683.88 = 530,683.88 : x
  2. Step 2: Convert to fraction form
    340,005.38/530,683.88 = 530,683.88/x
  3. Step 3: Cross multiply
    340,005.38x = 530,683.88 × 530,683.88
  4. Step 4: Simplify right side
    340,005.38x = 281,625,375,185.02
  5. Step 5: Solve for x
    x = 281,625,375,185.02/340,005.38
  6. Step 6: Final answer
    x = 828,296.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.