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Finding the Third Proportional to 366,214.50 and 548,964

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Solution

The third proportional to 366,214.50 and 548,964 is: 822,909.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,214.50 : 548,964 = 548,964 : x
  2. Step 2: Convert to fraction form
    366,214.50/548,964 = 548,964/x
  3. Step 3: Cross multiply
    366,214.50x = 548,964 × 548,964
  4. Step 4: Simplify right side
    366,214.50x = 301,361,473,296
  5. Step 5: Solve for x
    x = 301,361,473,296/366,214.50
  6. Step 6: Final answer
    x = 822,909.72

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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.