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Finding the Third Proportional to 519,475.50 and 777,122

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Solution

The third proportional to 519,475.50 and 777,122 is: 1,162,554.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,475.50 : 777,122 = 777,122 : x
  2. Step 2: Convert to fraction form
    519,475.50/777,122 = 777,122/x
  3. Step 3: Cross multiply
    519,475.50x = 777,122 × 777,122
  4. Step 4: Simplify right side
    519,475.50x = 603,918,602,884
  5. Step 5: Solve for x
    x = 603,918,602,884/519,475.50
  6. Step 6: Final answer
    x = 1,162,554.54

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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.