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Finding the Third Proportional to 319,252 and 698,336

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Solution

The third proportional to 319,252 and 698,336 is: 1,527,549.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,252 : 698,336 = 698,336 : x
  2. Step 2: Convert to fraction form
    319,252/698,336 = 698,336/x
  3. Step 3: Cross multiply
    319,252x = 698,336 × 698,336
  4. Step 4: Simplify right side
    319,252x = 487,673,168,896
  5. Step 5: Solve for x
    x = 487,673,168,896/319,252
  6. Step 6: Final answer
    x = 1,527,549.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.