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Finding the Third Proportional to 340,126 and 530,865

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Solution

The third proportional to 340,126 and 530,865 is: 828,568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,126 : 530,865 = 530,865 : x
  2. Step 2: Convert to fraction form
    340,126/530,865 = 530,865/x
  3. Step 3: Cross multiply
    340,126x = 530,865 × 530,865
  4. Step 4: Simplify right side
    340,126x = 281,817,648,225
  5. Step 5: Solve for x
    x = 281,817,648,225/340,126
  6. Step 6: Final answer
    x = 828,568.38

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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.