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Finding the Third Proportional to 404,851 and 605,046

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Solution

The third proportional to 404,851 and 605,046 is: 904,235.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,851 : 605,046 = 605,046 : x
  2. Step 2: Convert to fraction form
    404,851/605,046 = 605,046/x
  3. Step 3: Cross multiply
    404,851x = 605,046 × 605,046
  4. Step 4: Simplify right side
    404,851x = 366,080,662,116
  5. Step 5: Solve for x
    x = 366,080,662,116/404,851
  6. Step 6: Final answer
    x = 904,235.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.