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Finding the Third Proportional to 340,124 and 530,864

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Solution

The third proportional to 340,124 and 530,864 is: 828,570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,124 : 530,864 = 530,864 : x
  2. Step 2: Convert to fraction form
    340,124/530,864 = 530,864/x
  3. Step 3: Cross multiply
    340,124x = 530,864 × 530,864
  4. Step 4: Simplify right side
    340,124x = 281,816,586,496
  5. Step 5: Solve for x
    x = 281,816,586,496/340,124
  6. Step 6: Final answer
    x = 828,570.13

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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.