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Finding the Third Proportional to 228,454 and 495,046

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Solution

The third proportional to 228,454 and 495,046 is: 1,072,734.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,454 : 495,046 = 495,046 : x
  2. Step 2: Convert to fraction form
    228,454/495,046 = 495,046/x
  3. Step 3: Cross multiply
    228,454x = 495,046 × 495,046
  4. Step 4: Simplify right side
    228,454x = 245,070,542,116
  5. Step 5: Solve for x
    x = 245,070,542,116/228,454
  6. Step 6: Final answer
    x = 1,072,734.74

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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.