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Finding the Third Proportional to 301,083.75 and 631,724.06

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Solution

The third proportional to 301,083.75 and 631,724.06 is: 1,325,462.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,083.75 : 631,724.06 = 631,724.06 : x
  2. Step 2: Convert to fraction form
    301,083.75/631,724.06 = 631,724.06/x
  3. Step 3: Cross multiply
    301,083.75x = 631,724.06 × 631,724.06
  4. Step 4: Simplify right side
    301,083.75x = 399,075,291,141.50
  5. Step 5: Solve for x
    x = 399,075,291,141.50/301,083.75
  6. Step 6: Final answer
    x = 1,325,462.74

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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.