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Finding the Third Proportional to 296,722,613.25 and 436,195,401.75

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Solution

The third proportional to 296,722,613.25 and 436,195,401.75 is: 641,226,586.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,722,613.25 : 436,195,401.75 = 436,195,401.75 : x
  2. Step 2: Convert to fraction form
    296,722,613.25/436,195,401.75 = 436,195,401.75/x
  3. Step 3: Cross multiply
    296,722,613.25x = 436,195,401.75 × 436,195,401.75
  4. Step 4: Simplify right side
    296,722,613.25x = 190,266,428,507,843,904
  5. Step 5: Solve for x
    x = 190,266,428,507,843,904/296,722,613.25
  6. Step 6: Final answer
    x = 641,226,586.76

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.