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Finding the Third Proportional to 228,357 and 495,618.75

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Solution

The third proportional to 228,357 and 495,618.75 is: 1,075,675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,357 : 495,618.75 = 495,618.75 : x
  2. Step 2: Convert to fraction form
    228,357/495,618.75 = 495,618.75/x
  3. Step 3: Cross multiply
    228,357x = 495,618.75 × 495,618.75
  4. Step 4: Simplify right side
    228,357x = 245,637,945,351.56
  5. Step 5: Solve for x
    x = 245,637,945,351.56/228,357
  6. Step 6: Final answer
    x = 1,075,675.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.