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Finding the Third Proportional to 414,316.50 and 627,075.75

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Solution

The third proportional to 414,316.50 and 627,075.75 is: 949,090.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,316.50 : 627,075.75 = 627,075.75 : x
  2. Step 2: Convert to fraction form
    414,316.50/627,075.75 = 627,075.75/x
  3. Step 3: Cross multiply
    414,316.50x = 627,075.75 × 627,075.75
  4. Step 4: Simplify right side
    414,316.50x = 393,223,996,238.06
  5. Step 5: Solve for x
    x = 393,223,996,238.06/414,316.50
  6. Step 6: Final answer
    x = 949,090.84

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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.