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Finding the Third Proportional to 348,726.94 and 739,302.19

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Solution

The third proportional to 348,726.94 and 739,302.19 is: 1,567,322.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,726.94 : 739,302.19 = 739,302.19 : x
  2. Step 2: Convert to fraction form
    348,726.94/739,302.19 = 739,302.19/x
  3. Step 3: Cross multiply
    348,726.94x = 739,302.19 × 739,302.19
  4. Step 4: Simplify right side
    348,726.94x = 546,567,724,442.29
  5. Step 5: Solve for x
    x = 546,567,724,442.29/348,726.94
  6. Step 6: Final answer
    x = 1,567,322.93

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.