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Finding the Third Proportional to 319,674 and 738,130.50

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Solution

The third proportional to 319,674 and 738,130.50 is: 1,704,350.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,674 : 738,130.50 = 738,130.50 : x
  2. Step 2: Convert to fraction form
    319,674/738,130.50 = 738,130.50/x
  3. Step 3: Cross multiply
    319,674x = 738,130.50 × 738,130.50
  4. Step 4: Simplify right side
    319,674x = 544,836,635,030.25
  5. Step 5: Solve for x
    x = 544,836,635,030.25/319,674
  6. Step 6: Final answer
    x = 1,704,350.79

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.