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Finding the Third Proportional to 511,487 and 774,338

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Solution

The third proportional to 511,487 and 774,338 is: 1,172,267.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,487 : 774,338 = 774,338 : x
  2. Step 2: Convert to fraction form
    511,487/774,338 = 774,338/x
  3. Step 3: Cross multiply
    511,487x = 774,338 × 774,338
  4. Step 4: Simplify right side
    511,487x = 599,599,338,244
  5. Step 5: Solve for x
    x = 599,599,338,244/511,487
  6. Step 6: Final answer
    x = 1,172,267.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.