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Finding the Third Proportional to 303,422.63 and 437,070.94

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Solution

The third proportional to 303,422.63 and 437,070.94 is: 629,587.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,422.63 : 437,070.94 = 437,070.94 : x
  2. Step 2: Convert to fraction form
    303,422.63/437,070.94 = 437,070.94/x
  3. Step 3: Cross multiply
    303,422.63x = 437,070.94 × 437,070.94
  4. Step 4: Simplify right side
    303,422.63x = 191,031,004,407.13
  5. Step 5: Solve for x
    x = 191,031,004,407.13/303,422.63
  6. Step 6: Final answer
    x = 629,587.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.