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Finding the Third Proportional to 319,152 and 485,640

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Solution

The third proportional to 319,152 and 485,640 is: 738,977.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,152 : 485,640 = 485,640 : x
  2. Step 2: Convert to fraction form
    319,152/485,640 = 485,640/x
  3. Step 3: Cross multiply
    319,152x = 485,640 × 485,640
  4. Step 4: Simplify right side
    319,152x = 235,846,209,600
  5. Step 5: Solve for x
    x = 235,846,209,600/319,152
  6. Step 6: Final answer
    x = 738,977.70

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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.