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Finding the Third Proportional to 341,710 and 750,378

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Solution

The third proportional to 341,710 and 750,378 is: 1,647,792.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,710 : 750,378 = 750,378 : x
  2. Step 2: Convert to fraction form
    341,710/750,378 = 750,378/x
  3. Step 3: Cross multiply
    341,710x = 750,378 × 750,378
  4. Step 4: Simplify right side
    341,710x = 563,067,142,884
  5. Step 5: Solve for x
    x = 563,067,142,884/341,710
  6. Step 6: Final answer
    x = 1,647,792.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.