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Finding the Third Proportional to 332,184 and 779,855

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Solution

The third proportional to 332,184 and 779,855 is: 1,830,834.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,184 : 779,855 = 779,855 : x
  2. Step 2: Convert to fraction form
    332,184/779,855 = 779,855/x
  3. Step 3: Cross multiply
    332,184x = 779,855 × 779,855
  4. Step 4: Simplify right side
    332,184x = 608,173,821,025
  5. Step 5: Solve for x
    x = 608,173,821,025/332,184
  6. Step 6: Final answer
    x = 1,830,834.18

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.