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Finding the Third Proportional to 329,524 and 719,456

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Solution

The third proportional to 329,524 and 719,456 is: 1,570,801.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,524 : 719,456 = 719,456 : x
  2. Step 2: Convert to fraction form
    329,524/719,456 = 719,456/x
  3. Step 3: Cross multiply
    329,524x = 719,456 × 719,456
  4. Step 4: Simplify right side
    329,524x = 517,616,935,936
  5. Step 5: Solve for x
    x = 517,616,935,936/329,524
  6. Step 6: Final answer
    x = 1,570,801.93

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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.