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Finding the Third Proportional to 340,105 and 530,840

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Solution

The third proportional to 340,105 and 530,840 is: 828,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,105 : 530,840 = 530,840 : x
  2. Step 2: Convert to fraction form
    340,105/530,840 = 530,840/x
  3. Step 3: Cross multiply
    340,105x = 530,840 × 530,840
  4. Step 4: Simplify right side
    340,105x = 281,791,105,600
  5. Step 5: Solve for x
    x = 281,791,105,600/340,105
  6. Step 6: Final answer
    x = 828,541.50

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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.