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Finding the Third Proportional to 341,809 and 736,205

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Solution

The third proportional to 341,809 and 736,205 is: 1,585,674.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,809 : 736,205 = 736,205 : x
  2. Step 2: Convert to fraction form
    341,809/736,205 = 736,205/x
  3. Step 3: Cross multiply
    341,809x = 736,205 × 736,205
  4. Step 4: Simplify right side
    341,809x = 541,997,802,025
  5. Step 5: Solve for x
    x = 541,997,802,025/341,809
  6. Step 6: Final answer
    x = 1,585,674.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.