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Finding the Third Proportional to 577,914 and 766,832

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Solution

The third proportional to 577,914 and 766,832 is: 1,017,506.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,914 : 766,832 = 766,832 : x
  2. Step 2: Convert to fraction form
    577,914/766,832 = 766,832/x
  3. Step 3: Cross multiply
    577,914x = 766,832 × 766,832
  4. Step 4: Simplify right side
    577,914x = 588,031,316,224
  5. Step 5: Solve for x
    x = 588,031,316,224/577,914
  6. Step 6: Final answer
    x = 1,017,506.61

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.