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Finding the Third Proportional to 319,706 and 700,324

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Solution

The third proportional to 319,706 and 700,324 is: 1,534,077.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,706 : 700,324 = 700,324 : x
  2. Step 2: Convert to fraction form
    319,706/700,324 = 700,324/x
  3. Step 3: Cross multiply
    319,706x = 700,324 × 700,324
  4. Step 4: Simplify right side
    319,706x = 490,453,704,976
  5. Step 5: Solve for x
    x = 490,453,704,976/319,706
  6. Step 6: Final answer
    x = 1,534,077.26

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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.