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Finding the Third Proportional to 497,908 and 765,322

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Solution

The third proportional to 497,908 and 765,322 is: 1,176,357.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,908 : 765,322 = 765,322 : x
  2. Step 2: Convert to fraction form
    497,908/765,322 = 765,322/x
  3. Step 3: Cross multiply
    497,908x = 765,322 × 765,322
  4. Step 4: Simplify right side
    497,908x = 585,717,763,684
  5. Step 5: Solve for x
    x = 585,717,763,684/497,908
  6. Step 6: Final answer
    x = 1,176,357.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.