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Finding the Third Proportional to 319,676 and 701,560

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Solution

The third proportional to 319,676 and 701,560 is: 1,539,641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,676 : 701,560 = 701,560 : x
  2. Step 2: Convert to fraction form
    319,676/701,560 = 701,560/x
  3. Step 3: Cross multiply
    319,676x = 701,560 × 701,560
  4. Step 4: Simplify right side
    319,676x = 492,186,433,600
  5. Step 5: Solve for x
    x = 492,186,433,600/319,676
  6. Step 6: Final answer
    x = 1,539,641.49

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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.