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Finding the Third Proportional to 341,282 and 734,080

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Solution

The third proportional to 341,282 and 734,080 is: 1,578,968.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,282 : 734,080 = 734,080 : x
  2. Step 2: Convert to fraction form
    341,282/734,080 = 734,080/x
  3. Step 3: Cross multiply
    341,282x = 734,080 × 734,080
  4. Step 4: Simplify right side
    341,282x = 538,873,446,400
  5. Step 5: Solve for x
    x = 538,873,446,400/341,282
  6. Step 6: Final answer
    x = 1,578,968.26

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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.