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Finding the Third Proportional to 340,103 and 530,837

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Solution

The third proportional to 340,103 and 530,837 is: 828,537.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,103 : 530,837 = 530,837 : x
  2. Step 2: Convert to fraction form
    340,103/530,837 = 530,837/x
  3. Step 3: Cross multiply
    340,103x = 530,837 × 530,837
  4. Step 4: Simplify right side
    340,103x = 281,787,920,569
  5. Step 5: Solve for x
    x = 281,787,920,569/340,103
  6. Step 6: Final answer
    x = 828,537.00

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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.