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Finding the Third Proportional to 403,824 and 849,504

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Solution

The third proportional to 403,824 and 849,504 is: 1,787,058.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,824 : 849,504 = 849,504 : x
  2. Step 2: Convert to fraction form
    403,824/849,504 = 849,504/x
  3. Step 3: Cross multiply
    403,824x = 849,504 × 849,504
  4. Step 4: Simplify right side
    403,824x = 721,657,046,016
  5. Step 5: Solve for x
    x = 721,657,046,016/403,824
  6. Step 6: Final answer
    x = 1,787,058.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.