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Finding the Third Proportional to 319,369 and 500,996

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Solution

The third proportional to 319,369 and 500,996 is: 785,915.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,369 : 500,996 = 500,996 : x
  2. Step 2: Convert to fraction form
    319,369/500,996 = 500,996/x
  3. Step 3: Cross multiply
    319,369x = 500,996 × 500,996
  4. Step 4: Simplify right side
    319,369x = 250,996,992,016
  5. Step 5: Solve for x
    x = 250,996,992,016/319,369
  6. Step 6: Final answer
    x = 785,915.33

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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.