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Finding the Third Proportional to 354,606 and 530,659

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Solution

The third proportional to 354,606 and 530,659 is: 794,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,606 : 530,659 = 530,659 : x
  2. Step 2: Convert to fraction form
    354,606/530,659 = 530,659/x
  3. Step 3: Cross multiply
    354,606x = 530,659 × 530,659
  4. Step 4: Simplify right side
    354,606x = 281,598,974,281
  5. Step 5: Solve for x
    x = 281,598,974,281/354,606
  6. Step 6: Final answer
    x = 794,117.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.