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Finding the Third Proportional to 321,646.88 and 473,114.63

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Solution

The third proportional to 321,646.88 and 473,114.63 is: 695,910.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,646.88 : 473,114.63 = 473,114.63 : x
  2. Step 2: Convert to fraction form
    321,646.88/473,114.63 = 473,114.63/x
  3. Step 3: Cross multiply
    321,646.88x = 473,114.63 × 473,114.63
  4. Step 4: Simplify right side
    321,646.88x = 223,837,448,388.89
  5. Step 5: Solve for x
    x = 223,837,448,388.89/321,646.88
  6. Step 6: Final answer
    x = 695,910.53

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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.