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Finding the Third Proportional to 319,364.50 and 500,989

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Solution

The third proportional to 319,364.50 and 500,989 is: 785,904.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,364.50 : 500,989 = 500,989 : x
  2. Step 2: Convert to fraction form
    319,364.50/500,989 = 500,989/x
  3. Step 3: Cross multiply
    319,364.50x = 500,989 × 500,989
  4. Step 4: Simplify right side
    319,364.50x = 250,989,978,121
  5. Step 5: Solve for x
    x = 250,989,978,121/319,364.50
  6. Step 6: Final answer
    x = 785,904.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.