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Finding the Third Proportional to 346,231.50 and 517,963.75

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Solution

The third proportional to 346,231.50 and 517,963.75 is: 774,875.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,231.50 : 517,963.75 = 517,963.75 : x
  2. Step 2: Convert to fraction form
    346,231.50/517,963.75 = 517,963.75/x
  3. Step 3: Cross multiply
    346,231.50x = 517,963.75 × 517,963.75
  4. Step 4: Simplify right side
    346,231.50x = 268,286,446,314.06
  5. Step 5: Solve for x
    x = 268,286,446,314.06/346,231.50
  6. Step 6: Final answer
    x = 774,875.90

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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.