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Finding the Third Proportional to 354,670 and 530,754

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Solution

The third proportional to 354,670 and 530,754 is: 794,258.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,670 : 530,754 = 530,754 : x
  2. Step 2: Convert to fraction form
    354,670/530,754 = 530,754/x
  3. Step 3: Cross multiply
    354,670x = 530,754 × 530,754
  4. Step 4: Simplify right side
    354,670x = 281,699,808,516
  5. Step 5: Solve for x
    x = 281,699,808,516/354,670
  6. Step 6: Final answer
    x = 794,258.91

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