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Finding the Third Proportional to 302,810 and 657,134

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Solution

The third proportional to 302,810 and 657,134 is: 1,426,059.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,810 : 657,134 = 657,134 : x
  2. Step 2: Convert to fraction form
    302,810/657,134 = 657,134/x
  3. Step 3: Cross multiply
    302,810x = 657,134 × 657,134
  4. Step 4: Simplify right side
    302,810x = 431,825,093,956
  5. Step 5: Solve for x
    x = 431,825,093,956/302,810
  6. Step 6: Final answer
    x = 1,426,059.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.