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Finding the Third Proportional to 296,250.75 and 446,995.13

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Solution

The third proportional to 296,250.75 and 446,995.13 is: 674,444.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,250.75 : 446,995.13 = 446,995.13 : x
  2. Step 2: Convert to fraction form
    296,250.75/446,995.13 = 446,995.13/x
  3. Step 3: Cross multiply
    296,250.75x = 446,995.13 × 446,995.13
  4. Step 4: Simplify right side
    296,250.75x = 199,804,641,773.77
  5. Step 5: Solve for x
    x = 199,804,641,773.77/296,250.75
  6. Step 6: Final answer
    x = 674,444.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.