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Finding the Third Proportional to 346,233 and 517,964

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Solution

The third proportional to 346,233 and 517,964 is: 774,873.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,233 : 517,964 = 517,964 : x
  2. Step 2: Convert to fraction form
    346,233/517,964 = 517,964/x
  3. Step 3: Cross multiply
    346,233x = 517,964 × 517,964
  4. Step 4: Simplify right side
    346,233x = 268,286,705,296
  5. Step 5: Solve for x
    x = 268,286,705,296/346,233
  6. Step 6: Final answer
    x = 774,873.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.