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Finding the Third Proportional to 453,076.31 and 634,983.19

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Solution

The third proportional to 453,076.31 and 634,983.19 is: 889,924.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,076.31 : 634,983.19 = 634,983.19 : x
  2. Step 2: Convert to fraction form
    453,076.31/634,983.19 = 634,983.19/x
  3. Step 3: Cross multiply
    453,076.31x = 634,983.19 × 634,983.19
  4. Step 4: Simplify right side
    453,076.31x = 403,203,648,407.66
  5. Step 5: Solve for x
    x = 403,203,648,407.66/453,076.31
  6. Step 6: Final answer
    x = 889,924.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.