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Finding the Third Proportional to 319,672 and 701,552

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Solution

The third proportional to 319,672 and 701,552 is: 1,539,625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,672 : 701,552 = 701,552 : x
  2. Step 2: Convert to fraction form
    319,672/701,552 = 701,552/x
  3. Step 3: Cross multiply
    319,672x = 701,552 × 701,552
  4. Step 4: Simplify right side
    319,672x = 492,175,208,704
  5. Step 5: Solve for x
    x = 492,175,208,704/319,672
  6. Step 6: Final answer
    x = 1,539,625.64

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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.