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Finding the Third Proportional to 427,232.50 and 922,014.50

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Solution

The third proportional to 427,232.50 and 922,014.50 is: 1,989,808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,232.50 : 922,014.50 = 922,014.50 : x
  2. Step 2: Convert to fraction form
    427,232.50/922,014.50 = 922,014.50/x
  3. Step 3: Cross multiply
    427,232.50x = 922,014.50 × 922,014.50
  4. Step 4: Simplify right side
    427,232.50x = 850,110,738,210.25
  5. Step 5: Solve for x
    x = 850,110,738,210.25/427,232.50
  6. Step 6: Final answer
    x = 1,989,808.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.