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Finding the Third Proportional to 283,670 and 433,038

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Solution

The third proportional to 283,670 and 433,038 is: 661,056.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,670 : 433,038 = 433,038 : x
  2. Step 2: Convert to fraction form
    283,670/433,038 = 433,038/x
  3. Step 3: Cross multiply
    283,670x = 433,038 × 433,038
  4. Step 4: Simplify right side
    283,670x = 187,521,909,444
  5. Step 5: Solve for x
    x = 187,521,909,444/283,670
  6. Step 6: Final answer
    x = 661,056.54

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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.