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Finding the Third Proportional to 321,645.94 and 473,113.41

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Solution

The third proportional to 321,645.94 and 473,113.41 is: 695,908.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,645.94 : 473,113.41 = 473,113.41 : x
  2. Step 2: Convert to fraction form
    321,645.94/473,113.41 = 473,113.41/x
  3. Step 3: Cross multiply
    321,645.94x = 473,113.41 × 473,113.41
  4. Step 4: Simplify right side
    321,645.94x = 223,836,295,173.48
  5. Step 5: Solve for x
    x = 223,836,295,173.48/321,645.94
  6. Step 6: Final answer
    x = 695,908.98

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.