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Finding the Third Proportional to 346,635 and 517,077

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Solution

The third proportional to 346,635 and 517,077 is: 771,326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,635 : 517,077 = 517,077 : x
  2. Step 2: Convert to fraction form
    346,635/517,077 = 517,077/x
  3. Step 3: Cross multiply
    346,635x = 517,077 × 517,077
  4. Step 4: Simplify right side
    346,635x = 267,368,623,929
  5. Step 5: Solve for x
    x = 267,368,623,929/346,635
  6. Step 6: Final answer
    x = 771,326.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.