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Finding the Third Proportional to 341,931 and 746,799

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Solution

The third proportional to 341,931 and 746,799 is: 1,631,056.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,931 : 746,799 = 746,799 : x
  2. Step 2: Convert to fraction form
    341,931/746,799 = 746,799/x
  3. Step 3: Cross multiply
    341,931x = 746,799 × 746,799
  4. Step 4: Simplify right side
    341,931x = 557,708,746,401
  5. Step 5: Solve for x
    x = 557,708,746,401/341,931
  6. Step 6: Final answer
    x = 1,631,056.40

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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.