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Finding the Third Proportional to 321,544 and 473,022

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Solution

The third proportional to 321,544 and 473,022 is: 695,860.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,544 : 473,022 = 473,022 : x
  2. Step 2: Convert to fraction form
    321,544/473,022 = 473,022/x
  3. Step 3: Cross multiply
    321,544x = 473,022 × 473,022
  4. Step 4: Simplify right side
    321,544x = 223,749,812,484
  5. Step 5: Solve for x
    x = 223,749,812,484/321,544
  6. Step 6: Final answer
    x = 695,860.64

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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.