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Finding the Third Proportional to 441,696 and 588,480

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Solution

The third proportional to 441,696 and 588,480 is: 784,043.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,696 : 588,480 = 588,480 : x
  2. Step 2: Convert to fraction form
    441,696/588,480 = 588,480/x
  3. Step 3: Cross multiply
    441,696x = 588,480 × 588,480
  4. Step 4: Simplify right side
    441,696x = 346,308,710,400
  5. Step 5: Solve for x
    x = 346,308,710,400/441,696
  6. Step 6: Final answer
    x = 784,043.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.