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Finding the Third Proportional to 344,840 and 535,192

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Solution

The third proportional to 344,840 and 535,192 is: 830,618.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,840 : 535,192 = 535,192 : x
  2. Step 2: Convert to fraction form
    344,840/535,192 = 535,192/x
  3. Step 3: Cross multiply
    344,840x = 535,192 × 535,192
  4. Step 4: Simplify right side
    344,840x = 286,430,476,864
  5. Step 5: Solve for x
    x = 286,430,476,864/344,840
  6. Step 6: Final answer
    x = 830,618.48

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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.