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Finding the Third Proportional to 519,989.50 and 783,673

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Solution

The third proportional to 519,989.50 and 783,673 is: 1,181,068.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,989.50 : 783,673 = 783,673 : x
  2. Step 2: Convert to fraction form
    519,989.50/783,673 = 783,673/x
  3. Step 3: Cross multiply
    519,989.50x = 783,673 × 783,673
  4. Step 4: Simplify right side
    519,989.50x = 614,143,370,929
  5. Step 5: Solve for x
    x = 614,143,370,929/519,989.50
  6. Step 6: Final answer
    x = 1,181,068.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.