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Finding the Third Proportional to 427,230 and 922,009.50

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Solution

The third proportional to 427,230 and 922,009.50 is: 1,989,798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,230 : 922,009.50 = 922,009.50 : x
  2. Step 2: Convert to fraction form
    427,230/922,009.50 = 922,009.50/x
  3. Step 3: Cross multiply
    427,230x = 922,009.50 × 922,009.50
  4. Step 4: Simplify right side
    427,230x = 850,101,518,090.25
  5. Step 5: Solve for x
    x = 850,101,518,090.25/427,230
  6. Step 6: Final answer
    x = 1,989,798.28

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