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Finding the Third Proportional to 319,810 and 704,012

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Solution

The third proportional to 319,810 and 704,012 is: 1,549,772.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,810 : 704,012 = 704,012 : x
  2. Step 2: Convert to fraction form
    319,810/704,012 = 704,012/x
  3. Step 3: Cross multiply
    319,810x = 704,012 × 704,012
  4. Step 4: Simplify right side
    319,810x = 495,632,896,144
  5. Step 5: Solve for x
    x = 495,632,896,144/319,810
  6. Step 6: Final answer
    x = 1,549,772.98

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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.