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Finding the Third Proportional to 329,576 and 719,560

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Solution

The third proportional to 329,576 and 719,560 is: 1,571,008.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,576 : 719,560 = 719,560 : x
  2. Step 2: Convert to fraction form
    329,576/719,560 = 719,560/x
  3. Step 3: Cross multiply
    329,576x = 719,560 × 719,560
  4. Step 4: Simplify right side
    329,576x = 517,766,593,600
  5. Step 5: Solve for x
    x = 517,766,593,600/329,576
  6. Step 6: Final answer
    x = 1,571,008.19

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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.