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Finding the Third Proportional to 313,070.06 and 670,411.69

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Solution

The third proportional to 313,070.06 and 670,411.69 is: 1,435,626.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,070.06 : 670,411.69 = 670,411.69 : x
  2. Step 2: Convert to fraction form
    313,070.06/670,411.69 = 670,411.69/x
  3. Step 3: Cross multiply
    313,070.06x = 670,411.69 × 670,411.69
  4. Step 4: Simplify right side
    313,070.06x = 449,451,830,736.60
  5. Step 5: Solve for x
    x = 449,451,830,736.60/313,070.06
  6. Step 6: Final answer
    x = 1,435,626.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.