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Finding the Third Proportional to 337,721.63 and 513,549

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Solution

The third proportional to 337,721.63 and 513,549 is: 780,917.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,721.63 : 513,549 = 513,549 : x
  2. Step 2: Convert to fraction form
    337,721.63/513,549 = 513,549/x
  3. Step 3: Cross multiply
    337,721.63x = 513,549 × 513,549
  4. Step 4: Simplify right side
    337,721.63x = 263,732,575,401
  5. Step 5: Solve for x
    x = 263,732,575,401/337,721.63
  6. Step 6: Final answer
    x = 780,917.05

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.