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Finding the Third Proportional to 352,924 and 833,008

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Solution

The third proportional to 352,924 and 833,008 is: 1,966,152.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,924 : 833,008 = 833,008 : x
  2. Step 2: Convert to fraction form
    352,924/833,008 = 833,008/x
  3. Step 3: Cross multiply
    352,924x = 833,008 × 833,008
  4. Step 4: Simplify right side
    352,924x = 693,902,328,064
  5. Step 5: Solve for x
    x = 693,902,328,064/352,924
  6. Step 6: Final answer
    x = 1,966,152.28

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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.