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Finding the Third Proportional to 429,198 and 679,464

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Solution

The third proportional to 429,198 and 679,464 is: 1,075,660.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,198 : 679,464 = 679,464 : x
  2. Step 2: Convert to fraction form
    429,198/679,464 = 679,464/x
  3. Step 3: Cross multiply
    429,198x = 679,464 × 679,464
  4. Step 4: Simplify right side
    429,198x = 461,671,327,296
  5. Step 5: Solve for x
    x = 461,671,327,296/429,198
  6. Step 6: Final answer
    x = 1,075,660.48

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.