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Finding the Third Proportional to 319,194 and 499,608

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Solution

The third proportional to 319,194 and 499,608 is: 781,995.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,194 : 499,608 = 499,608 : x
  2. Step 2: Convert to fraction form
    319,194/499,608 = 499,608/x
  3. Step 3: Cross multiply
    319,194x = 499,608 × 499,608
  4. Step 4: Simplify right side
    319,194x = 249,608,153,664
  5. Step 5: Solve for x
    x = 249,608,153,664/319,194
  6. Step 6: Final answer
    x = 781,995.13

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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.