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Finding the Third Proportional to 519,701.06 and 777,432.94

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Solution

The third proportional to 519,701.06 and 777,432.94 is: 1,162,980.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,701.06 : 777,432.94 = 777,432.94 : x
  2. Step 2: Convert to fraction form
    519,701.06/777,432.94 = 777,432.94/x
  3. Step 3: Cross multiply
    519,701.06x = 777,432.94 × 777,432.94
  4. Step 4: Simplify right side
    519,701.06x = 604,401,972,309.88
  5. Step 5: Solve for x
    x = 604,401,972,309.88/519,701.06
  6. Step 6: Final answer
    x = 1,162,980.06

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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.