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Finding the Third Proportional to 301,207.36 and 633,476.95

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Solution

The third proportional to 301,207.36 and 633,476.95 is: 1,332,281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,207.36 : 633,476.95 = 633,476.95 : x
  2. Step 2: Convert to fraction form
    301,207.36/633,476.95 = 633,476.95/x
  3. Step 3: Cross multiply
    301,207.36x = 633,476.95 × 633,476.95
  4. Step 4: Simplify right side
    301,207.36x = 401,293,050,140.53
  5. Step 5: Solve for x
    x = 401,293,050,140.53/301,207.36
  6. Step 6: Final answer
    x = 1,332,281.69

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.