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Finding the Third Proportional to 289,780 and 426,288

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Solution

The third proportional to 289,780 and 426,288 is: 627,101.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,780 : 426,288 = 426,288 : x
  2. Step 2: Convert to fraction form
    289,780/426,288 = 426,288/x
  3. Step 3: Cross multiply
    289,780x = 426,288 × 426,288
  4. Step 4: Simplify right side
    289,780x = 181,721,458,944
  5. Step 5: Solve for x
    x = 181,721,458,944/289,780
  6. Step 6: Final answer
    x = 627,101.45

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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.