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Finding the Third Proportional to 341,274.52 and 741,598.03

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Solution

The third proportional to 341,274.52 and 741,598.03 is: 1,611,511.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,274.52 : 741,598.03 = 741,598.03 : x
  2. Step 2: Convert to fraction form
    341,274.52/741,598.03 = 741,598.03/x
  3. Step 3: Cross multiply
    341,274.52x = 741,598.03 × 741,598.03
  4. Step 4: Simplify right side
    341,274.52x = 549,967,639,953.88
  5. Step 5: Solve for x
    x = 549,967,639,953.88/341,274.52
  6. Step 6: Final answer
    x = 1,611,511.01

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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.