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Finding the Third Proportional to 333,463 and 786,686

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Solution

The third proportional to 333,463 and 786,686 is: 1,855,902.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,463 : 786,686 = 786,686 : x
  2. Step 2: Convert to fraction form
    333,463/786,686 = 786,686/x
  3. Step 3: Cross multiply
    333,463x = 786,686 × 786,686
  4. Step 4: Simplify right side
    333,463x = 618,874,862,596
  5. Step 5: Solve for x
    x = 618,874,862,596/333,463
  6. Step 6: Final answer
    x = 1,855,902.64

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.