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Finding the Third Proportional to 264,550.50 and 399,213

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Solution

The third proportional to 264,550.50 and 399,213 is: 602,421.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,550.50 : 399,213 = 399,213 : x
  2. Step 2: Convert to fraction form
    264,550.50/399,213 = 399,213/x
  3. Step 3: Cross multiply
    264,550.50x = 399,213 × 399,213
  4. Step 4: Simplify right side
    264,550.50x = 159,371,019,369
  5. Step 5: Solve for x
    x = 159,371,019,369/264,550.50
  6. Step 6: Final answer
    x = 602,421.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.