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Finding the Third Proportional to 346,315.50 and 518,079.38

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Solution

The third proportional to 346,315.50 and 518,079.38 is: 775,033.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,315.50 : 518,079.38 = 518,079.38 : x
  2. Step 2: Convert to fraction form
    346,315.50/518,079.38 = 518,079.38/x
  3. Step 3: Cross multiply
    346,315.50x = 518,079.38 × 518,079.38
  4. Step 4: Simplify right side
    346,315.50x = 268,406,238,800.39
  5. Step 5: Solve for x
    x = 268,406,238,800.39/346,315.50
  6. Step 6: Final answer
    x = 775,033.86

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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.