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Finding the Third Proportional to 329,444 and 719,302

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Solution

The third proportional to 329,444 and 719,302 is: 1,570,510.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,444 : 719,302 = 719,302 : x
  2. Step 2: Convert to fraction form
    329,444/719,302 = 719,302/x
  3. Step 3: Cross multiply
    329,444x = 719,302 × 719,302
  4. Step 4: Simplify right side
    329,444x = 517,395,367,204
  5. Step 5: Solve for x
    x = 517,395,367,204/329,444
  6. Step 6: Final answer
    x = 1,570,510.82

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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.