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Finding the Third Proportional to 228,896.50 and 514,084.50

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Solution

The third proportional to 228,896.50 and 514,084.50 is: 1,154,595.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,896.50 : 514,084.50 = 514,084.50 : x
  2. Step 2: Convert to fraction form
    228,896.50/514,084.50 = 514,084.50/x
  3. Step 3: Cross multiply
    228,896.50x = 514,084.50 × 514,084.50
  4. Step 4: Simplify right side
    228,896.50x = 264,282,873,140.25
  5. Step 5: Solve for x
    x = 264,282,873,140.25/228,896.50
  6. Step 6: Final answer
    x = 1,154,595.52

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.