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Finding the Third Proportional to 302,664 and 657,744

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Solution

The third proportional to 302,664 and 657,744 is: 1,429,397.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,664 : 657,744 = 657,744 : x
  2. Step 2: Convert to fraction form
    302,664/657,744 = 657,744/x
  3. Step 3: Cross multiply
    302,664x = 657,744 × 657,744
  4. Step 4: Simplify right side
    302,664x = 432,627,169,536
  5. Step 5: Solve for x
    x = 432,627,169,536/302,664
  6. Step 6: Final answer
    x = 1,429,397.52

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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.