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Finding the Third Proportional to 244,480 and 388,996

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Solution

The third proportional to 244,480 and 388,996 is: 618,937.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,480 : 388,996 = 388,996 : x
  2. Step 2: Convert to fraction form
    244,480/388,996 = 388,996/x
  3. Step 3: Cross multiply
    244,480x = 388,996 × 388,996
  4. Step 4: Simplify right side
    244,480x = 151,317,888,016
  5. Step 5: Solve for x
    x = 151,317,888,016/244,480
  6. Step 6: Final answer
    x = 618,937.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.