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Finding the Third Proportional to 333,310 and 786,334

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Solution

The third proportional to 333,310 and 786,334 is: 1,855,093.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,310 : 786,334 = 786,334 : x
  2. Step 2: Convert to fraction form
    333,310/786,334 = 786,334/x
  3. Step 3: Cross multiply
    333,310x = 786,334 × 786,334
  4. Step 4: Simplify right side
    333,310x = 618,321,159,556
  5. Step 5: Solve for x
    x = 618,321,159,556/333,310
  6. Step 6: Final answer
    x = 1,855,093.34

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Why These Related Problems?

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