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Finding the Third Proportional to 319,046 and 700,986

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Solution

The third proportional to 319,046 and 700,986 is: 1,540,158.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,046 : 700,986 = 700,986 : x
  2. Step 2: Convert to fraction form
    319,046/700,986 = 700,986/x
  3. Step 3: Cross multiply
    319,046x = 700,986 × 700,986
  4. Step 4: Simplify right side
    319,046x = 491,381,372,196
  5. Step 5: Solve for x
    x = 491,381,372,196/319,046
  6. Step 6: Final answer
    x = 1,540,158.39

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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.