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Finding the Third Proportional to 519,355.55 and 776,954.53

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Solution

The third proportional to 519,355.55 and 776,954.53 is: 1,162,321.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,355.55 : 776,954.53 = 776,954.53 : x
  2. Step 2: Convert to fraction form
    519,355.55/776,954.53 = 776,954.53/x
  3. Step 3: Cross multiply
    519,355.55x = 776,954.53 × 776,954.53
  4. Step 4: Simplify right side
    519,355.55x = 603,658,343,629.91
  5. Step 5: Solve for x
    x = 603,658,343,629.91/519,355.55
  6. Step 6: Final answer
    x = 1,162,321.93

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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.