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Finding the Third Proportional to 354,930 and 530,991

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Solution

The third proportional to 354,930 and 530,991 is: 794,386.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,930 : 530,991 = 530,991 : x
  2. Step 2: Convert to fraction form
    354,930/530,991 = 530,991/x
  3. Step 3: Cross multiply
    354,930x = 530,991 × 530,991
  4. Step 4: Simplify right side
    354,930x = 281,951,442,081
  5. Step 5: Solve for x
    x = 281,951,442,081/354,930
  6. Step 6: Final answer
    x = 794,386.05

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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.