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Finding the Third Proportional to 519,373 and 776,989.50

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Solution

The third proportional to 519,373 and 776,989.50 is: 1,162,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,373 : 776,989.50 = 776,989.50 : x
  2. Step 2: Convert to fraction form
    519,373/776,989.50 = 776,989.50/x
  3. Step 3: Cross multiply
    519,373x = 776,989.50 × 776,989.50
  4. Step 4: Simplify right side
    519,373x = 603,712,683,110.25
  5. Step 5: Solve for x
    x = 603,712,683,110.25/519,373
  6. Step 6: Final answer
    x = 1,162,387.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.