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Finding the Third Proportional to 363,988 and 774,656

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Solution

The third proportional to 363,988 and 774,656 is: 1,648,658.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,988 : 774,656 = 774,656 : x
  2. Step 2: Convert to fraction form
    363,988/774,656 = 774,656/x
  3. Step 3: Cross multiply
    363,988x = 774,656 × 774,656
  4. Step 4: Simplify right side
    363,988x = 600,091,918,336
  5. Step 5: Solve for x
    x = 600,091,918,336/363,988
  6. Step 6: Final answer
    x = 1,648,658.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.