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Finding the Third Proportional to 341,946 and 746,820

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Solution

The third proportional to 341,946 and 746,820 is: 1,631,076.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,946 : 746,820 = 746,820 : x
  2. Step 2: Convert to fraction form
    341,946/746,820 = 746,820/x
  3. Step 3: Cross multiply
    341,946x = 746,820 × 746,820
  4. Step 4: Simplify right side
    341,946x = 557,740,112,400
  5. Step 5: Solve for x
    x = 557,740,112,400/341,946
  6. Step 6: Final answer
    x = 1,631,076.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.