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Finding the Third Proportional to 319,644 and 701,496

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Solution

The third proportional to 319,644 and 701,496 is: 1,539,514.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,644 : 701,496 = 701,496 : x
  2. Step 2: Convert to fraction form
    319,644/701,496 = 701,496/x
  3. Step 3: Cross multiply
    319,644x = 701,496 × 701,496
  4. Step 4: Simplify right side
    319,644x = 492,096,638,016
  5. Step 5: Solve for x
    x = 492,096,638,016/319,644
  6. Step 6: Final answer
    x = 1,539,514.70

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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.