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Finding the Third Proportional to 296,875.13 and 622,910.25

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Solution

The third proportional to 296,875.13 and 622,910.25 is: 1,307,004.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,875.13 : 622,910.25 = 622,910.25 : x
  2. Step 2: Convert to fraction form
    296,875.13/622,910.25 = 622,910.25/x
  3. Step 3: Cross multiply
    296,875.13x = 622,910.25 × 622,910.25
  4. Step 4: Simplify right side
    296,875.13x = 388,017,179,555.06
  5. Step 5: Solve for x
    x = 388,017,179,555.06/296,875.13
  6. Step 6: Final answer
    x = 1,307,004.69

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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.