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Finding the Third Proportional to 319,389 and 681,627

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Solution

The third proportional to 319,389 and 681,627 is: 1,454,700.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,389 : 681,627 = 681,627 : x
  2. Step 2: Convert to fraction form
    319,389/681,627 = 681,627/x
  3. Step 3: Cross multiply
    319,389x = 681,627 × 681,627
  4. Step 4: Simplify right side
    319,389x = 464,615,367,129
  5. Step 5: Solve for x
    x = 464,615,367,129/319,389
  6. Step 6: Final answer
    x = 1,454,700.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.