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Finding the Third Proportional to 302,256 and 633,530.25

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Solution

The third proportional to 302,256 and 633,530.25 is: 1,327,882.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,256 : 633,530.25 = 633,530.25 : x
  2. Step 2: Convert to fraction form
    302,256/633,530.25 = 633,530.25/x
  3. Step 3: Cross multiply
    302,256x = 633,530.25 × 633,530.25
  4. Step 4: Simplify right side
    302,256x = 401,360,577,665.06
  5. Step 5: Solve for x
    x = 401,360,577,665.06/302,256
  6. Step 6: Final answer
    x = 1,327,882.91

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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.