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Finding the Third Proportional to 293,457.94 and 466,813.13

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Solution

The third proportional to 293,457.94 and 466,813.13 is: 742,574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,457.94 : 466,813.13 = 466,813.13 : x
  2. Step 2: Convert to fraction form
    293,457.94/466,813.13 = 466,813.13/x
  3. Step 3: Cross multiply
    293,457.94x = 466,813.13 × 466,813.13
  4. Step 4: Simplify right side
    293,457.94x = 217,914,493,672.27
  5. Step 5: Solve for x
    x = 217,914,493,672.27/293,457.94
  6. Step 6: Final answer
    x = 742,574.88

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.