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Finding the Third Proportional to 356,550 and 783,075

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Solution

The third proportional to 356,550 and 783,075 is: 1,719,833.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,550 : 783,075 = 783,075 : x
  2. Step 2: Convert to fraction form
    356,550/783,075 = 783,075/x
  3. Step 3: Cross multiply
    356,550x = 783,075 × 783,075
  4. Step 4: Simplify right side
    356,550x = 613,206,455,625
  5. Step 5: Solve for x
    x = 613,206,455,625/356,550
  6. Step 6: Final answer
    x = 1,719,833.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.