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Finding the Third Proportional to 431,608.50 and 898,381.13

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Solution

The third proportional to 431,608.50 and 898,381.13 is: 1,869,955.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,608.50 : 898,381.13 = 898,381.13 : x
  2. Step 2: Convert to fraction form
    431,608.50/898,381.13 = 898,381.13/x
  3. Step 3: Cross multiply
    431,608.50x = 898,381.13 × 898,381.13
  4. Step 4: Simplify right side
    431,608.50x = 807,088,645,756.27
  5. Step 5: Solve for x
    x = 807,088,645,756.27/431,608.50
  6. Step 6: Final answer
    x = 1,869,955.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.