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Finding the Third Proportional to 319,038 and 700,971

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Solution

The third proportional to 319,038 and 700,971 is: 1,540,131.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,038 : 700,971 = 700,971 : x
  2. Step 2: Convert to fraction form
    319,038/700,971 = 700,971/x
  3. Step 3: Cross multiply
    319,038x = 700,971 × 700,971
  4. Step 4: Simplify right side
    319,038x = 491,360,342,841
  5. Step 5: Solve for x
    x = 491,360,342,841/319,038
  6. Step 6: Final answer
    x = 1,540,131.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.