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Finding the Third Proportional to 339,534.50 and 719,543

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Solution

The third proportional to 339,534.50 and 719,543 is: 1,524,858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,534.50 : 719,543 = 719,543 : x
  2. Step 2: Convert to fraction form
    339,534.50/719,543 = 719,543/x
  3. Step 3: Cross multiply
    339,534.50x = 719,543 × 719,543
  4. Step 4: Simplify right side
    339,534.50x = 517,742,128,849
  5. Step 5: Solve for x
    x = 517,742,128,849/339,534.50
  6. Step 6: Final answer
    x = 1,524,858.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.