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Finding the Third Proportional to 321,998.63 and 473,152.22

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Solution

The third proportional to 321,998.63 and 473,152.22 is: 695,260.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,998.63 : 473,152.22 = 473,152.22 : x
  2. Step 2: Convert to fraction form
    321,998.63/473,152.22 = 473,152.22/x
  3. Step 3: Cross multiply
    321,998.63x = 473,152.22 × 473,152.22
  4. Step 4: Simplify right side
    321,998.63x = 223,873,022,108.05
  5. Step 5: Solve for x
    x = 223,873,022,108.05/321,998.63
  6. Step 6: Final answer
    x = 695,260.80

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Why These Related Problems?

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