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Finding the Third Proportional to 433,984 and 657,098

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Solution

The third proportional to 433,984 and 657,098 is: 994,916.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,984 : 657,098 = 657,098 : x
  2. Step 2: Convert to fraction form
    433,984/657,098 = 657,098/x
  3. Step 3: Cross multiply
    433,984x = 657,098 × 657,098
  4. Step 4: Simplify right side
    433,984x = 431,777,781,604
  5. Step 5: Solve for x
    x = 431,777,781,604/433,984
  6. Step 6: Final answer
    x = 994,916.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.