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Finding the Third Proportional to 373,398 and 819,354

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Solution

The third proportional to 373,398 and 819,354 is: 1,797,923.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,398 : 819,354 = 819,354 : x
  2. Step 2: Convert to fraction form
    373,398/819,354 = 819,354/x
  3. Step 3: Cross multiply
    373,398x = 819,354 × 819,354
  4. Step 4: Simplify right side
    373,398x = 671,340,977,316
  5. Step 5: Solve for x
    x = 671,340,977,316/373,398
  6. Step 6: Final answer
    x = 1,797,923.33

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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.