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Finding the Third Proportional to 283,428 and 434,902

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Solution

The third proportional to 283,428 and 434,902 is: 667,329.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,428 : 434,902 = 434,902 : x
  2. Step 2: Convert to fraction form
    283,428/434,902 = 434,902/x
  3. Step 3: Cross multiply
    283,428x = 434,902 × 434,902
  4. Step 4: Simplify right side
    283,428x = 189,139,749,604
  5. Step 5: Solve for x
    x = 189,139,749,604/283,428
  6. Step 6: Final answer
    x = 667,329.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.