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Finding the Third Proportional to 427,330 and 911,866.50

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Solution

The third proportional to 427,330 and 911,866.50 is: 1,945,804.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,330 : 911,866.50 = 911,866.50 : x
  2. Step 2: Convert to fraction form
    427,330/911,866.50 = 911,866.50/x
  3. Step 3: Cross multiply
    427,330x = 911,866.50 × 911,866.50
  4. Step 4: Simplify right side
    427,330x = 831,500,513,822.25
  5. Step 5: Solve for x
    x = 831,500,513,822.25/427,330
  6. Step 6: Final answer
    x = 1,945,804.21

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.