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Finding the Third Proportional to 346,318 and 518,083

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Solution

The third proportional to 346,318 and 518,083 is: 775,039.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,318 : 518,083 = 518,083 : x
  2. Step 2: Convert to fraction form
    346,318/518,083 = 518,083/x
  3. Step 3: Cross multiply
    346,318x = 518,083 × 518,083
  4. Step 4: Simplify right side
    346,318x = 268,409,994,889
  5. Step 5: Solve for x
    x = 268,409,994,889/346,318
  6. Step 6: Final answer
    x = 775,039.11

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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.