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Finding the Third Proportional to 627,129.84 and 946,573.59

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Solution

The third proportional to 627,129.84 and 946,573.59 is: 1,428,733.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,129.84 : 946,573.59 = 946,573.59 : x
  2. Step 2: Convert to fraction form
    627,129.84/946,573.59 = 946,573.59/x
  3. Step 3: Cross multiply
    627,129.84x = 946,573.59 × 946,573.59
  4. Step 4: Simplify right side
    627,129.84x = 896,001,568,384.79
  5. Step 5: Solve for x
    x = 896,001,568,384.79/627,129.84
  6. Step 6: Final answer
    x = 1,428,733.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.