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Finding the Third Proportional to 354,638 and 530,700.50

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Solution

The third proportional to 354,638 and 530,700.50 is: 794,170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,638 : 530,700.50 = 530,700.50 : x
  2. Step 2: Convert to fraction form
    354,638/530,700.50 = 530,700.50/x
  3. Step 3: Cross multiply
    354,638x = 530,700.50 × 530,700.50
  4. Step 4: Simplify right side
    354,638x = 281,643,020,700.25
  5. Step 5: Solve for x
    x = 281,643,020,700.25/354,638
  6. Step 6: Final answer
    x = 794,170.45

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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.