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Finding the Third Proportional to 328,912 and 719,336

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Solution

The third proportional to 328,912 and 719,336 is: 1,573,199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,912 : 719,336 = 719,336 : x
  2. Step 2: Convert to fraction form
    328,912/719,336 = 719,336/x
  3. Step 3: Cross multiply
    328,912x = 719,336 × 719,336
  4. Step 4: Simplify right side
    328,912x = 517,444,280,896
  5. Step 5: Solve for x
    x = 517,444,280,896/328,912
  6. Step 6: Final answer
    x = 1,573,199.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.