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Finding the Third Proportional to 346,329.50 and 518,101

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Solution

The third proportional to 346,329.50 and 518,101 is: 775,067.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,329.50 : 518,101 = 518,101 : x
  2. Step 2: Convert to fraction form
    346,329.50/518,101 = 518,101/x
  3. Step 3: Cross multiply
    346,329.50x = 518,101 × 518,101
  4. Step 4: Simplify right side
    346,329.50x = 268,428,646,201
  5. Step 5: Solve for x
    x = 268,428,646,201/346,329.50
  6. Step 6: Final answer
    x = 775,067.23

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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.