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Finding the Third Proportional to 228,312 and 472,536

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Solution

The third proportional to 228,312 and 472,536 is: 978,004.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,312 : 472,536 = 472,536 : x
  2. Step 2: Convert to fraction form
    228,312/472,536 = 472,536/x
  3. Step 3: Cross multiply
    228,312x = 472,536 × 472,536
  4. Step 4: Simplify right side
    228,312x = 223,290,271,296
  5. Step 5: Solve for x
    x = 223,290,271,296/228,312
  6. Step 6: Final answer
    x = 978,004.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.