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Finding the Third Proportional to 264,490.50 and 385,647

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Solution

The third proportional to 264,490.50 and 385,647 is: 562,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,490.50 : 385,647 = 385,647 : x
  2. Step 2: Convert to fraction form
    264,490.50/385,647 = 385,647/x
  3. Step 3: Cross multiply
    264,490.50x = 385,647 × 385,647
  4. Step 4: Simplify right side
    264,490.50x = 148,723,608,609
  5. Step 5: Solve for x
    x = 148,723,608,609/264,490.50
  6. Step 6: Final answer
    x = 562,302.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.