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Finding the Third Proportional to 577,775 and 832,233

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Solution

The third proportional to 577,775 and 832,233 is: 1,198,756.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,775 : 832,233 = 832,233 : x
  2. Step 2: Convert to fraction form
    577,775/832,233 = 832,233/x
  3. Step 3: Cross multiply
    577,775x = 832,233 × 832,233
  4. Step 4: Simplify right side
    577,775x = 692,611,766,289
  5. Step 5: Solve for x
    x = 692,611,766,289/577,775
  6. Step 6: Final answer
    x = 1,198,756.90

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.