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Finding the Third Proportional to 407,629 and 833,402

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Solution

The third proportional to 407,629 and 833,402 is: 1,703,899.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,629 : 833,402 = 833,402 : x
  2. Step 2: Convert to fraction form
    407,629/833,402 = 833,402/x
  3. Step 3: Cross multiply
    407,629x = 833,402 × 833,402
  4. Step 4: Simplify right side
    407,629x = 694,558,893,604
  5. Step 5: Solve for x
    x = 694,558,893,604/407,629
  6. Step 6: Final answer
    x = 1,703,899.61

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.