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Finding the Third Proportional to 431,088.75 and 634,105.13

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Solution

The third proportional to 431,088.75 and 634,105.13 is: 932,729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,088.75 : 634,105.13 = 634,105.13 : x
  2. Step 2: Convert to fraction form
    431,088.75/634,105.13 = 634,105.13/x
  3. Step 3: Cross multiply
    431,088.75x = 634,105.13 × 634,105.13
  4. Step 4: Simplify right side
    431,088.75x = 402,089,309,551.27
  5. Step 5: Solve for x
    x = 402,089,309,551.27/431,088.75
  6. Step 6: Final answer
    x = 932,729.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.