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Finding the Third Proportional to 602,032 and 819,995

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Solution

The third proportional to 602,032 and 819,995 is: 1,116,870.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,032 : 819,995 = 819,995 : x
  2. Step 2: Convert to fraction form
    602,032/819,995 = 819,995/x
  3. Step 3: Cross multiply
    602,032x = 819,995 × 819,995
  4. Step 4: Simplify right side
    602,032x = 672,391,800,025
  5. Step 5: Solve for x
    x = 672,391,800,025/602,032
  6. Step 6: Final answer
    x = 1,116,870.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.