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Finding the Third Proportional to 298,804.50 and 647,424

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Solution

The third proportional to 298,804.50 and 647,424 is: 1,402,782.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,804.50 : 647,424 = 647,424 : x
  2. Step 2: Convert to fraction form
    298,804.50/647,424 = 647,424/x
  3. Step 3: Cross multiply
    298,804.50x = 647,424 × 647,424
  4. Step 4: Simplify right side
    298,804.50x = 419,157,835,776
  5. Step 5: Solve for x
    x = 419,157,835,776/298,804.50
  6. Step 6: Final answer
    x = 1,402,782.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.