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Finding the Third Proportional to 302,126.63 and 635,357.25

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Solution

The third proportional to 302,126.63 and 635,357.25 is: 1,336,124.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,126.63 : 635,357.25 = 635,357.25 : x
  2. Step 2: Convert to fraction form
    302,126.63/635,357.25 = 635,357.25/x
  3. Step 3: Cross multiply
    302,126.63x = 635,357.25 × 635,357.25
  4. Step 4: Simplify right side
    302,126.63x = 403,678,835,127.56
  5. Step 5: Solve for x
    x = 403,678,835,127.56/302,126.63
  6. Step 6: Final answer
    x = 1,336,124.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.