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Finding the Third Proportional to 341,803 and 736,199

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Solution

The third proportional to 341,803 and 736,199 is: 1,585,676.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,803 : 736,199 = 736,199 : x
  2. Step 2: Convert to fraction form
    341,803/736,199 = 736,199/x
  3. Step 3: Cross multiply
    341,803x = 736,199 × 736,199
  4. Step 4: Simplify right side
    341,803x = 541,988,967,601
  5. Step 5: Solve for x
    x = 541,988,967,601/341,803
  6. Step 6: Final answer
    x = 1,585,676.45

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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.