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Finding the Third Proportional to 403,754 and 849,324

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Solution

The third proportional to 403,754 and 849,324 is: 1,786,610.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,754 : 849,324 = 849,324 : x
  2. Step 2: Convert to fraction form
    403,754/849,324 = 849,324/x
  3. Step 3: Cross multiply
    403,754x = 849,324 × 849,324
  4. Step 4: Simplify right side
    403,754x = 721,351,256,976
  5. Step 5: Solve for x
    x = 721,351,256,976/403,754
  6. Step 6: Final answer
    x = 1,786,610.80

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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.