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Finding the Third Proportional to 341,925 and 741,804

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Solution

The third proportional to 341,925 and 741,804 is: 1,609,338.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,925 : 741,804 = 741,804 : x
  2. Step 2: Convert to fraction form
    341,925/741,804 = 741,804/x
  3. Step 3: Cross multiply
    341,925x = 741,804 × 741,804
  4. Step 4: Simplify right side
    341,925x = 550,273,174,416
  5. Step 5: Solve for x
    x = 550,273,174,416/341,925
  6. Step 6: Final answer
    x = 1,609,338.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.