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Finding the Third Proportional to 236,445 and 512,211

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Solution

The third proportional to 236,445 and 512,211 is: 1,109,603.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,445 : 512,211 = 512,211 : x
  2. Step 2: Convert to fraction form
    236,445/512,211 = 512,211/x
  3. Step 3: Cross multiply
    236,445x = 512,211 × 512,211
  4. Step 4: Simplify right side
    236,445x = 262,360,108,521
  5. Step 5: Solve for x
    x = 262,360,108,521/236,445
  6. Step 6: Final answer
    x = 1,109,603.11

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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.