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Finding the Third Proportional to 333,699 and 787,389

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Solution

The third proportional to 333,699 and 787,389 is: 1,857,906.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,699 : 787,389 = 787,389 : x
  2. Step 2: Convert to fraction form
    333,699/787,389 = 787,389/x
  3. Step 3: Cross multiply
    333,699x = 787,389 × 787,389
  4. Step 4: Simplify right side
    333,699x = 619,981,437,321
  5. Step 5: Solve for x
    x = 619,981,437,321/333,699
  6. Step 6: Final answer
    x = 1,857,906.19

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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.