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Finding the Third Proportional to 354,666 and 530,748

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Solution

The third proportional to 354,666 and 530,748 is: 794,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,666 : 530,748 = 530,748 : x
  2. Step 2: Convert to fraction form
    354,666/530,748 = 530,748/x
  3. Step 3: Cross multiply
    354,666x = 530,748 × 530,748
  4. Step 4: Simplify right side
    354,666x = 281,693,439,504
  5. Step 5: Solve for x
    x = 281,693,439,504/354,666
  6. Step 6: Final answer
    x = 794,249.91

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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.