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Finding the Third Proportional to 291,075 and 626,415

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Solution

The third proportional to 291,075 and 626,415 is: 1,348,091.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,075 : 626,415 = 626,415 : x
  2. Step 2: Convert to fraction form
    291,075/626,415 = 626,415/x
  3. Step 3: Cross multiply
    291,075x = 626,415 × 626,415
  4. Step 4: Simplify right side
    291,075x = 392,395,752,225
  5. Step 5: Solve for x
    x = 392,395,752,225/291,075
  6. Step 6: Final answer
    x = 1,348,091.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.