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Finding the Third Proportional to 298,813.50 and 647,442

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Solution

The third proportional to 298,813.50 and 647,442 is: 1,402,818.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,813.50 : 647,442 = 647,442 : x
  2. Step 2: Convert to fraction form
    298,813.50/647,442 = 647,442/x
  3. Step 3: Cross multiply
    298,813.50x = 647,442 × 647,442
  4. Step 4: Simplify right side
    298,813.50x = 419,181,143,364
  5. Step 5: Solve for x
    x = 419,181,143,364/298,813.50
  6. Step 6: Final answer
    x = 1,402,818.63

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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.