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Finding the Third Proportional to 354,657 and 530,734.50

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Solution

The third proportional to 354,657 and 530,734.50 is: 794,229.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,657 : 530,734.50 = 530,734.50 : x
  2. Step 2: Convert to fraction form
    354,657/530,734.50 = 530,734.50/x
  3. Step 3: Cross multiply
    354,657x = 530,734.50 × 530,734.50
  4. Step 4: Simplify right side
    354,657x = 281,679,109,490.25
  5. Step 5: Solve for x
    x = 281,679,109,490.25/354,657
  6. Step 6: Final answer
    x = 794,229.66

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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.