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Finding the Third Proportional to 294,884 and 447,798

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Solution

The third proportional to 294,884 and 447,798 is: 680,006.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,884 : 447,798 = 447,798 : x
  2. Step 2: Convert to fraction form
    294,884/447,798 = 447,798/x
  3. Step 3: Cross multiply
    294,884x = 447,798 × 447,798
  4. Step 4: Simplify right side
    294,884x = 200,523,048,804
  5. Step 5: Solve for x
    x = 200,523,048,804/294,884
  6. Step 6: Final answer
    x = 680,006.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.