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Finding the Third Proportional to 228,473 and 495,078

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Solution

The third proportional to 228,473 and 495,078 is: 1,072,784.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,473 : 495,078 = 495,078 : x
  2. Step 2: Convert to fraction form
    228,473/495,078 = 495,078/x
  3. Step 3: Cross multiply
    228,473x = 495,078 × 495,078
  4. Step 4: Simplify right side
    228,473x = 245,102,226,084
  5. Step 5: Solve for x
    x = 245,102,226,084/228,473
  6. Step 6: Final answer
    x = 1,072,784.21

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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.