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Finding the Third Proportional to 341,707 and 520,989

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Solution

The third proportional to 341,707 and 520,989 is: 794,334.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,707 : 520,989 = 520,989 : x
  2. Step 2: Convert to fraction form
    341,707/520,989 = 520,989/x
  3. Step 3: Cross multiply
    341,707x = 520,989 × 520,989
  4. Step 4: Simplify right side
    341,707x = 271,429,538,121
  5. Step 5: Solve for x
    x = 271,429,538,121/341,707
  6. Step 6: Final answer
    x = 794,334.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.