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Finding the Third Proportional to 405,738 and 865,752

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Solution

The third proportional to 405,738 and 865,752 is: 1,847,316.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,738 : 865,752 = 865,752 : x
  2. Step 2: Convert to fraction form
    405,738/865,752 = 865,752/x
  3. Step 3: Cross multiply
    405,738x = 865,752 × 865,752
  4. Step 4: Simplify right side
    405,738x = 749,526,525,504
  5. Step 5: Solve for x
    x = 749,526,525,504/405,738
  6. Step 6: Final answer
    x = 1,847,316.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.