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Finding the Third Proportional to 340,119 and 530,856

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Solution

The third proportional to 340,119 and 530,856 is: 828,557.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,119 : 530,856 = 530,856 : x
  2. Step 2: Convert to fraction form
    340,119/530,856 = 530,856/x
  3. Step 3: Cross multiply
    340,119x = 530,856 × 530,856
  4. Step 4: Simplify right side
    340,119x = 281,808,092,736
  5. Step 5: Solve for x
    x = 281,808,092,736/340,119
  6. Step 6: Final answer
    x = 828,557.34

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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.