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Finding the Third Proportional to 319,317 and 532,172.25

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Solution

The third proportional to 319,317 and 532,172.25 is: 886,915.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,317 : 532,172.25 = 532,172.25 : x
  2. Step 2: Convert to fraction form
    319,317/532,172.25 = 532,172.25/x
  3. Step 3: Cross multiply
    319,317x = 532,172.25 × 532,172.25
  4. Step 4: Simplify right side
    319,317x = 283,207,303,670.06
  5. Step 5: Solve for x
    x = 283,207,303,670.06/319,317
  6. Step 6: Final answer
    x = 886,915.83

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.