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Finding the Third Proportional to 404,370 and 865,544

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Solution

The third proportional to 404,370 and 865,544 is: 1,852,675.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,370 : 865,544 = 865,544 : x
  2. Step 2: Convert to fraction form
    404,370/865,544 = 865,544/x
  3. Step 3: Cross multiply
    404,370x = 865,544 × 865,544
  4. Step 4: Simplify right side
    404,370x = 749,166,415,936
  5. Step 5: Solve for x
    x = 749,166,415,936/404,370
  6. Step 6: Final answer
    x = 1,852,675.56

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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.