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Finding the Third Proportional to 341,466 and 737,643

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Solution

The third proportional to 341,466 and 737,643 is: 1,593,474.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,466 : 737,643 = 737,643 : x
  2. Step 2: Convert to fraction form
    341,466/737,643 = 737,643/x
  3. Step 3: Cross multiply
    341,466x = 737,643 × 737,643
  4. Step 4: Simplify right side
    341,466x = 544,117,195,449
  5. Step 5: Solve for x
    x = 544,117,195,449/341,466
  6. Step 6: Final answer
    x = 1,593,474.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.