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Finding the Third Proportional to 625,300 and 968,838

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Solution

The third proportional to 625,300 and 968,838 is: 1,501,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,300 : 968,838 = 968,838 : x
  2. Step 2: Convert to fraction form
    625,300/968,838 = 968,838/x
  3. Step 3: Cross multiply
    625,300x = 968,838 × 968,838
  4. Step 4: Simplify right side
    625,300x = 938,647,070,244
  5. Step 5: Solve for x
    x = 938,647,070,244/625,300
  6. Step 6: Final answer
    x = 1,501,114.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.