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Finding the Third Proportional to 191,457.13 and 417,729.06

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Solution

The third proportional to 191,457.13 and 417,729.06 is: 911,418.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,457.13 : 417,729.06 = 417,729.06 : x
  2. Step 2: Convert to fraction form
    191,457.13/417,729.06 = 417,729.06/x
  3. Step 3: Cross multiply
    191,457.13x = 417,729.06 × 417,729.06
  4. Step 4: Simplify right side
    191,457.13x = 174,497,569,657.13
  5. Step 5: Solve for x
    x = 174,497,569,657.13/191,457.13
  6. Step 6: Final answer
    x = 911,418.52

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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.