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Finding the Third Proportional to 519,488 and 703,968

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Solution

The third proportional to 519,488 and 703,968 is: 953,960.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,488 : 703,968 = 703,968 : x
  2. Step 2: Convert to fraction form
    519,488/703,968 = 703,968/x
  3. Step 3: Cross multiply
    519,488x = 703,968 × 703,968
  4. Step 4: Simplify right side
    519,488x = 495,570,945,024
  5. Step 5: Solve for x
    x = 495,570,945,024/519,488
  6. Step 6: Final answer
    x = 953,960.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.