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Finding the Third Proportional to 346,519 and 518,340.50

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Solution

The third proportional to 346,519 and 518,340.50 is: 775,359.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,519 : 518,340.50 = 518,340.50 : x
  2. Step 2: Convert to fraction form
    346,519/518,340.50 = 518,340.50/x
  3. Step 3: Cross multiply
    346,519x = 518,340.50 × 518,340.50
  4. Step 4: Simplify right side
    346,519x = 268,676,873,940.25
  5. Step 5: Solve for x
    x = 268,676,873,940.25/346,519
  6. Step 6: Final answer
    x = 775,359.72

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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.