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Finding the Third Proportional to 348,720.19 and 739,288.69

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Solution

The third proportional to 348,720.19 and 739,288.69 is: 1,567,296.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,720.19 : 739,288.69 = 739,288.69 : x
  2. Step 2: Convert to fraction form
    348,720.19/739,288.69 = 739,288.69/x
  3. Step 3: Cross multiply
    348,720.19x = 739,288.69 × 739,288.69
  4. Step 4: Simplify right side
    348,720.19x = 546,547,763,465.47
  5. Step 5: Solve for x
    x = 546,547,763,465.47/348,720.19
  6. Step 6: Final answer
    x = 1,567,296.02

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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.