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Finding the Third Proportional to 341,258 and 734,842

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Solution

The third proportional to 341,258 and 734,842 is: 1,582,359.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,258 : 734,842 = 734,842 : x
  2. Step 2: Convert to fraction form
    341,258/734,842 = 734,842/x
  3. Step 3: Cross multiply
    341,258x = 734,842 × 734,842
  4. Step 4: Simplify right side
    341,258x = 539,992,764,964
  5. Step 5: Solve for x
    x = 539,992,764,964/341,258
  6. Step 6: Final answer
    x = 1,582,359.29

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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.