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Finding the Third Proportional to 404,880 and 865,804

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Solution

The third proportional to 404,880 and 865,804 is: 1,851,453.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,880 : 865,804 = 865,804 : x
  2. Step 2: Convert to fraction form
    404,880/865,804 = 865,804/x
  3. Step 3: Cross multiply
    404,880x = 865,804 × 865,804
  4. Step 4: Simplify right side
    404,880x = 749,616,566,416
  5. Step 5: Solve for x
    x = 749,616,566,416/404,880
  6. Step 6: Final answer
    x = 1,851,453.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.