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Finding the Third Proportional to 341,807 and 736,201

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Solution

The third proportional to 341,807 and 736,201 is: 1,585,666.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,807 : 736,201 = 736,201 : x
  2. Step 2: Convert to fraction form
    341,807/736,201 = 736,201/x
  3. Step 3: Cross multiply
    341,807x = 736,201 × 736,201
  4. Step 4: Simplify right side
    341,807x = 541,991,912,401
  5. Step 5: Solve for x
    x = 541,991,912,401/341,807
  6. Step 6: Final answer
    x = 1,585,666.51

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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.