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Finding the Third Proportional to 333,651 and 787,293

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Solution

The third proportional to 333,651 and 787,293 is: 1,857,720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,651 : 787,293 = 787,293 : x
  2. Step 2: Convert to fraction form
    333,651/787,293 = 787,293/x
  3. Step 3: Cross multiply
    333,651x = 787,293 × 787,293
  4. Step 4: Simplify right side
    333,651x = 619,830,267,849
  5. Step 5: Solve for x
    x = 619,830,267,849/333,651
  6. Step 6: Final answer
    x = 1,857,720.40

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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.