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Finding the Third Proportional to 595,931 and 765,147

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Solution

The third proportional to 595,931 and 765,147 is: 982,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,931 : 765,147 = 765,147 : x
  2. Step 2: Convert to fraction form
    595,931/765,147 = 765,147/x
  3. Step 3: Cross multiply
    595,931x = 765,147 × 765,147
  4. Step 4: Simplify right side
    595,931x = 585,449,931,609
  5. Step 5: Solve for x
    x = 585,449,931,609/595,931
  6. Step 6: Final answer
    x = 982,412.28

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.