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Finding the Third Proportional to 314,338.88 and 643,203.75

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Solution

The third proportional to 314,338.88 and 643,203.75 is: 1,316,130.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,338.88 : 643,203.75 = 643,203.75 : x
  2. Step 2: Convert to fraction form
    314,338.88/643,203.75 = 643,203.75/x
  3. Step 3: Cross multiply
    314,338.88x = 643,203.75 × 643,203.75
  4. Step 4: Simplify right side
    314,338.88x = 413,711,064,014.06
  5. Step 5: Solve for x
    x = 413,711,064,014.06/314,338.88
  6. Step 6: Final answer
    x = 1,316,130.76

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.