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Finding the Third Proportional to 449,519.63 and 632,326.50

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Solution

The third proportional to 449,519.63 and 632,326.50 is: 889,475.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,519.63 : 632,326.50 = 632,326.50 : x
  2. Step 2: Convert to fraction form
    449,519.63/632,326.50 = 632,326.50/x
  3. Step 3: Cross multiply
    449,519.63x = 632,326.50 × 632,326.50
  4. Step 4: Simplify right side
    449,519.63x = 399,836,802,602.25
  5. Step 5: Solve for x
    x = 399,836,802,602.25/449,519.63
  6. Step 6: Final answer
    x = 889,475.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.