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Finding the Third Proportional to 302,897.25 and 660,813.75

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Solution

The third proportional to 302,897.25 and 660,813.75 is: 1,441,659.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,897.25 : 660,813.75 = 660,813.75 : x
  2. Step 2: Convert to fraction form
    302,897.25/660,813.75 = 660,813.75/x
  3. Step 3: Cross multiply
    302,897.25x = 660,813.75 × 660,813.75
  4. Step 4: Simplify right side
    302,897.25x = 436,674,812,189.06
  5. Step 5: Solve for x
    x = 436,674,812,189.06/302,897.25
  6. Step 6: Final answer
    x = 1,441,659.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.