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Finding the Third Proportional to 824,674.50 and 1,161,301.50

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Solution

The third proportional to 824,674.50 and 1,161,301.50 is: 1,635,337.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,674.50 : 1,161,301.50 = 1,161,301.50 : x
  2. Step 2: Convert to fraction form
    824,674.50/1,161,301.50 = 1,161,301.50/x
  3. Step 3: Cross multiply
    824,674.50x = 1,161,301.50 × 1,161,301.50
  4. Step 4: Simplify right side
    824,674.50x = 1,348,621,173,902.25
  5. Step 5: Solve for x
    x = 1,348,621,173,902.25/824,674.50
  6. Step 6: Final answer
    x = 1,635,337.55

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.