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Finding the Third Proportional to 306,362.25 and 665,030.25

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Solution

The third proportional to 306,362.25 and 665,030.25 is: 1,443,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,362.25 : 665,030.25 = 665,030.25 : x
  2. Step 2: Convert to fraction form
    306,362.25/665,030.25 = 665,030.25/x
  3. Step 3: Cross multiply
    306,362.25x = 665,030.25 × 665,030.25
  4. Step 4: Simplify right side
    306,362.25x = 442,265,233,415.06
  5. Step 5: Solve for x
    x = 442,265,233,415.06/306,362.25
  6. Step 6: Final answer
    x = 1,443,602.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.