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Finding the Third Proportional to 321,644.25 and 473,110.88

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Solution

The third proportional to 321,644.25 and 473,110.88 is: 695,905.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,644.25 : 473,110.88 = 473,110.88 : x
  2. Step 2: Convert to fraction form
    321,644.25/473,110.88 = 473,110.88/x
  3. Step 3: Cross multiply
    321,644.25x = 473,110.88 × 473,110.88
  4. Step 4: Simplify right side
    321,644.25x = 223,833,900,043.27
  5. Step 5: Solve for x
    x = 223,833,900,043.27/321,644.25
  6. Step 6: Final answer
    x = 695,905.18

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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.