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Finding the Third Proportional to 341,733 and 749,280

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Solution

The third proportional to 341,733 and 749,280 is: 1,642,863.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,733 : 749,280 = 749,280 : x
  2. Step 2: Convert to fraction form
    341,733/749,280 = 749,280/x
  3. Step 3: Cross multiply
    341,733x = 749,280 × 749,280
  4. Step 4: Simplify right side
    341,733x = 561,420,518,400
  5. Step 5: Solve for x
    x = 561,420,518,400/341,733
  6. Step 6: Final answer
    x = 1,642,863.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.