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Finding the Third Proportional to 264,598.50 and 571,638

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Solution

The third proportional to 264,598.50 and 571,638 is: 1,234,965.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,598.50 : 571,638 = 571,638 : x
  2. Step 2: Convert to fraction form
    264,598.50/571,638 = 571,638/x
  3. Step 3: Cross multiply
    264,598.50x = 571,638 × 571,638
  4. Step 4: Simplify right side
    264,598.50x = 326,770,003,044
  5. Step 5: Solve for x
    x = 326,770,003,044/264,598.50
  6. Step 6: Final answer
    x = 1,234,965.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.