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Finding the Third Proportional to 319,812 and 704,016

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Solution

The third proportional to 319,812 and 704,016 is: 1,549,780.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,812 : 704,016 = 704,016 : x
  2. Step 2: Convert to fraction form
    319,812/704,016 = 704,016/x
  3. Step 3: Cross multiply
    319,812x = 704,016 × 704,016
  4. Step 4: Simplify right side
    319,812x = 495,638,528,256
  5. Step 5: Solve for x
    x = 495,638,528,256/319,812
  6. Step 6: Final answer
    x = 1,549,780.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.