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Finding the Third Proportional to 344,824 and 535,167

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Solution

The third proportional to 344,824 and 535,167 is: 830,579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,824 : 535,167 = 535,167 : x
  2. Step 2: Convert to fraction form
    344,824/535,167 = 535,167/x
  3. Step 3: Cross multiply
    344,824x = 535,167 × 535,167
  4. Step 4: Simplify right side
    344,824x = 286,403,717,889
  5. Step 5: Solve for x
    x = 286,403,717,889/344,824
  6. Step 6: Final answer
    x = 830,579.42

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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.