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Finding the Third Proportional to 373,470 and 819,504

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Solution

The third proportional to 373,470 and 819,504 is: 1,798,234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,470 : 819,504 = 819,504 : x
  2. Step 2: Convert to fraction form
    373,470/819,504 = 819,504/x
  3. Step 3: Cross multiply
    373,470x = 819,504 × 819,504
  4. Step 4: Simplify right side
    373,470x = 671,586,806,016
  5. Step 5: Solve for x
    x = 671,586,806,016/373,470
  6. Step 6: Final answer
    x = 1,798,234.95

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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.