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Finding the Third Proportional to 314,688 and 471,936

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Solution

The third proportional to 314,688 and 471,936 is: 707,760.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,688 : 471,936 = 471,936 : x
  2. Step 2: Convert to fraction form
    314,688/471,936 = 471,936/x
  3. Step 3: Cross multiply
    314,688x = 471,936 × 471,936
  4. Step 4: Simplify right side
    314,688x = 222,723,588,096
  5. Step 5: Solve for x
    x = 222,723,588,096/314,688
  6. Step 6: Final answer
    x = 707,760.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.