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Finding the Third Proportional to 321,574 and 441,354

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Solution

The third proportional to 321,574 and 441,354 is: 605,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,574 : 441,354 = 441,354 : x
  2. Step 2: Convert to fraction form
    321,574/441,354 = 441,354/x
  3. Step 3: Cross multiply
    321,574x = 441,354 × 441,354
  4. Step 4: Simplify right side
    321,574x = 194,793,353,316
  5. Step 5: Solve for x
    x = 194,793,353,316/321,574
  6. Step 6: Final answer
    x = 605,749.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.