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Finding the Third Proportional to 519,702.75 and 777,435

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Solution

The third proportional to 519,702.75 and 777,435 is: 1,162,982.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,702.75 : 777,435 = 777,435 : x
  2. Step 2: Convert to fraction form
    519,702.75/777,435 = 777,435/x
  3. Step 3: Cross multiply
    519,702.75x = 777,435 × 777,435
  4. Step 4: Simplify right side
    519,702.75x = 604,405,179,225
  5. Step 5: Solve for x
    x = 604,405,179,225/519,702.75
  6. Step 6: Final answer
    x = 1,162,982.45

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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.