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Finding the Third Proportional to 319,914 and 700,092

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Solution

The third proportional to 319,914 and 700,092 is: 1,532,064.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,914 : 700,092 = 700,092 : x
  2. Step 2: Convert to fraction form
    319,914/700,092 = 700,092/x
  3. Step 3: Cross multiply
    319,914x = 700,092 × 700,092
  4. Step 4: Simplify right side
    319,914x = 490,128,808,464
  5. Step 5: Solve for x
    x = 490,128,808,464/319,914
  6. Step 6: Final answer
    x = 1,532,064.27

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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.