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Finding the Third Proportional to 344,596 and 730,104

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Solution

The third proportional to 344,596 and 730,104 is: 1,546,889.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,596 : 730,104 = 730,104 : x
  2. Step 2: Convert to fraction form
    344,596/730,104 = 730,104/x
  3. Step 3: Cross multiply
    344,596x = 730,104 × 730,104
  4. Step 4: Simplify right side
    344,596x = 533,051,850,816
  5. Step 5: Solve for x
    x = 533,051,850,816/344,596
  6. Step 6: Final answer
    x = 1,546,889.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.