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Finding the Third Proportional to 519,781.50 and 777,557

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Solution

The third proportional to 519,781.50 and 777,557 is: 1,163,171.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,781.50 : 777,557 = 777,557 : x
  2. Step 2: Convert to fraction form
    519,781.50/777,557 = 777,557/x
  3. Step 3: Cross multiply
    519,781.50x = 777,557 × 777,557
  4. Step 4: Simplify right side
    519,781.50x = 604,594,888,249
  5. Step 5: Solve for x
    x = 604,594,888,249/519,781.50
  6. Step 6: Final answer
    x = 1,163,171.23

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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.