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Finding the Third Proportional to 326,447 and 719,098

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Solution

The third proportional to 326,447 and 719,098 is: 1,584,030.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,447 : 719,098 = 719,098 : x
  2. Step 2: Convert to fraction form
    326,447/719,098 = 719,098/x
  3. Step 3: Cross multiply
    326,447x = 719,098 × 719,098
  4. Step 4: Simplify right side
    326,447x = 517,101,933,604
  5. Step 5: Solve for x
    x = 517,101,933,604/326,447
  6. Step 6: Final answer
    x = 1,584,030.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.