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Finding the Third Proportional to 303,927.75 and 654,995.25

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Solution

The third proportional to 303,927.75 and 654,995.25 is: 1,411,581.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,927.75 : 654,995.25 = 654,995.25 : x
  2. Step 2: Convert to fraction form
    303,927.75/654,995.25 = 654,995.25/x
  3. Step 3: Cross multiply
    303,927.75x = 654,995.25 × 654,995.25
  4. Step 4: Simplify right side
    303,927.75x = 429,018,777,522.56
  5. Step 5: Solve for x
    x = 429,018,777,522.56/303,927.75
  6. Step 6: Final answer
    x = 1,411,581.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.