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Finding the Third Proportional to 291,240 and 622,969.50

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Solution

The third proportional to 291,240 and 622,969.50 is: 1,332,547.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,240 : 622,969.50 = 622,969.50 : x
  2. Step 2: Convert to fraction form
    291,240/622,969.50 = 622,969.50/x
  3. Step 3: Cross multiply
    291,240x = 622,969.50 × 622,969.50
  4. Step 4: Simplify right side
    291,240x = 388,090,997,930.25
  5. Step 5: Solve for x
    x = 388,090,997,930.25/291,240
  6. Step 6: Final answer
    x = 1,332,547.03

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.