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Finding the Third Proportional to 302,815 and 657,144

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Solution

The third proportional to 302,815 and 657,144 is: 1,426,079.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,815 : 657,144 = 657,144 : x
  2. Step 2: Convert to fraction form
    302,815/657,144 = 657,144/x
  3. Step 3: Cross multiply
    302,815x = 657,144 × 657,144
  4. Step 4: Simplify right side
    302,815x = 431,838,236,736
  5. Step 5: Solve for x
    x = 431,838,236,736/302,815
  6. Step 6: Final answer
    x = 1,426,079.41

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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.