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Finding the Third Proportional to 319,914 and 486,778.50

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Solution

The third proportional to 319,914 and 486,778.50 is: 740,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,914 : 486,778.50 = 486,778.50 : x
  2. Step 2: Convert to fraction form
    319,914/486,778.50 = 486,778.50/x
  3. Step 3: Cross multiply
    319,914x = 486,778.50 × 486,778.50
  4. Step 4: Simplify right side
    319,914x = 236,953,308,062.25
  5. Step 5: Solve for x
    x = 236,953,308,062.25/319,914
  6. Step 6: Final answer
    x = 740,678.14

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.