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Finding the Third Proportional to 373,196 and 561,666

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Solution

The third proportional to 373,196 and 561,666 is: 845,316.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,196 : 561,666 = 561,666 : x
  2. Step 2: Convert to fraction form
    373,196/561,666 = 561,666/x
  3. Step 3: Cross multiply
    373,196x = 561,666 × 561,666
  4. Step 4: Simplify right side
    373,196x = 315,468,695,556
  5. Step 5: Solve for x
    x = 315,468,695,556/373,196
  6. Step 6: Final answer
    x = 845,316.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.