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Finding the Third Proportional to 482,480.44 and 709,685.44

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Solution

The third proportional to 482,480.44 and 709,685.44 is: 1,043,883.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,480.44 : 709,685.44 = 709,685.44 : x
  2. Step 2: Convert to fraction form
    482,480.44/709,685.44 = 709,685.44/x
  3. Step 3: Cross multiply
    482,480.44x = 709,685.44 × 709,685.44
  4. Step 4: Simplify right side
    482,480.44x = 503,653,420,199.57
  5. Step 5: Solve for x
    x = 503,653,420,199.57/482,480.44
  6. Step 6: Final answer
    x = 1,043,883.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.