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Finding the Third Proportional to 368,342.50 and 519,913.50

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Solution

The third proportional to 368,342.50 and 519,913.50 is: 733,855.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,342.50 : 519,913.50 = 519,913.50 : x
  2. Step 2: Convert to fraction form
    368,342.50/519,913.50 = 519,913.50/x
  3. Step 3: Cross multiply
    368,342.50x = 519,913.50 × 519,913.50
  4. Step 4: Simplify right side
    368,342.50x = 270,310,047,482.25
  5. Step 5: Solve for x
    x = 270,310,047,482.25/368,342.50
  6. Step 6: Final answer
    x = 733,855.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.