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Finding the Third Proportional to 228,482 and 495,844

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Solution

The third proportional to 228,482 and 495,844 is: 1,076,064.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,482 : 495,844 = 495,844 : x
  2. Step 2: Convert to fraction form
    228,482/495,844 = 495,844/x
  3. Step 3: Cross multiply
    228,482x = 495,844 × 495,844
  4. Step 4: Simplify right side
    228,482x = 245,861,272,336
  5. Step 5: Solve for x
    x = 245,861,272,336/228,482
  6. Step 6: Final answer
    x = 1,076,064.08

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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.