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Finding the Third Proportional to 358,960 and 783,119

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Solution

The third proportional to 358,960 and 783,119 is: 1,708,478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,960 : 783,119 = 783,119 : x
  2. Step 2: Convert to fraction form
    358,960/783,119 = 783,119/x
  3. Step 3: Cross multiply
    358,960x = 783,119 × 783,119
  4. Step 4: Simplify right side
    358,960x = 613,275,368,161
  5. Step 5: Solve for x
    x = 613,275,368,161/358,960
  6. Step 6: Final answer
    x = 1,708,478.29

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Why These Related Problems?

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