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Finding the Third Proportional to 409,323 and 880,207.50

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Solution

The third proportional to 409,323 and 880,207.50 is: 1,892,796.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,323 : 880,207.50 = 880,207.50 : x
  2. Step 2: Convert to fraction form
    409,323/880,207.50 = 880,207.50/x
  3. Step 3: Cross multiply
    409,323x = 880,207.50 × 880,207.50
  4. Step 4: Simplify right side
    409,323x = 774,765,243,056.25
  5. Step 5: Solve for x
    x = 774,765,243,056.25/409,323
  6. Step 6: Final answer
    x = 1,892,796.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.