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Finding the Third Proportional to 329,394 and 719,024

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Solution

The third proportional to 329,394 and 719,024 is: 1,569,535.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,394 : 719,024 = 719,024 : x
  2. Step 2: Convert to fraction form
    329,394/719,024 = 719,024/x
  3. Step 3: Cross multiply
    329,394x = 719,024 × 719,024
  4. Step 4: Simplify right side
    329,394x = 516,995,512,576
  5. Step 5: Solve for x
    x = 516,995,512,576/329,394
  6. Step 6: Final answer
    x = 1,569,535.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.