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Finding the Third Proportional to 341,797 and 736,185

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Solution

The third proportional to 341,797 and 736,185 is: 1,585,643.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,797 : 736,185 = 736,185 : x
  2. Step 2: Convert to fraction form
    341,797/736,185 = 736,185/x
  3. Step 3: Cross multiply
    341,797x = 736,185 × 736,185
  4. Step 4: Simplify right side
    341,797x = 541,968,354,225
  5. Step 5: Solve for x
    x = 541,968,354,225/341,797
  6. Step 6: Final answer
    x = 1,585,643.98

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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.