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Finding the Third Proportional to 572,194 and 885,196

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Solution

The third proportional to 572,194 and 885,196 is: 1,369,416.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,194 : 885,196 = 885,196 : x
  2. Step 2: Convert to fraction form
    572,194/885,196 = 885,196/x
  3. Step 3: Cross multiply
    572,194x = 885,196 × 885,196
  4. Step 4: Simplify right side
    572,194x = 783,571,958,416
  5. Step 5: Solve for x
    x = 783,571,958,416/572,194
  6. Step 6: Final answer
    x = 1,369,416.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.