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Finding the Third Proportional to 354,828 and 530,964

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Solution

The third proportional to 354,828 and 530,964 is: 794,533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,828 : 530,964 = 530,964 : x
  2. Step 2: Convert to fraction form
    354,828/530,964 = 530,964/x
  3. Step 3: Cross multiply
    354,828x = 530,964 × 530,964
  4. Step 4: Simplify right side
    354,828x = 281,922,769,296
  5. Step 5: Solve for x
    x = 281,922,769,296/354,828
  6. Step 6: Final answer
    x = 794,533.60

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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.