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Finding the Third Proportional to 191,524.50 and 416,674.13

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Solution

The third proportional to 191,524.50 and 416,674.13 is: 906,501.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,524.50 : 416,674.13 = 416,674.13 : x
  2. Step 2: Convert to fraction form
    191,524.50/416,674.13 = 416,674.13/x
  3. Step 3: Cross multiply
    191,524.50x = 416,674.13 × 416,674.13
  4. Step 4: Simplify right side
    191,524.50x = 173,617,326,444.52
  5. Step 5: Solve for x
    x = 173,617,326,444.52/191,524.50
  6. Step 6: Final answer
    x = 906,501.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.