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Finding the Third Proportional to 359,930 and 833,261

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Solution

The third proportional to 359,930 and 833,261 is: 1,929,052.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,930 : 833,261 = 833,261 : x
  2. Step 2: Convert to fraction form
    359,930/833,261 = 833,261/x
  3. Step 3: Cross multiply
    359,930x = 833,261 × 833,261
  4. Step 4: Simplify right side
    359,930x = 694,323,894,121
  5. Step 5: Solve for x
    x = 694,323,894,121/359,930
  6. Step 6: Final answer
    x = 1,929,052.58

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.