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Finding the Third Proportional to 294,984 and 447,913

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Solution

The third proportional to 294,984 and 447,913 is: 680,125.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,984 : 447,913 = 447,913 : x
  2. Step 2: Convert to fraction form
    294,984/447,913 = 447,913/x
  3. Step 3: Cross multiply
    294,984x = 447,913 × 447,913
  4. Step 4: Simplify right side
    294,984x = 200,626,055,569
  5. Step 5: Solve for x
    x = 200,626,055,569/294,984
  6. Step 6: Final answer
    x = 680,125.21

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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.