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Finding the Third Proportional to 326,300 and 722,476

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Solution

The third proportional to 326,300 and 722,476 is: 1,599,667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,300 : 722,476 = 722,476 : x
  2. Step 2: Convert to fraction form
    326,300/722,476 = 722,476/x
  3. Step 3: Cross multiply
    326,300x = 722,476 × 722,476
  4. Step 4: Simplify right side
    326,300x = 521,971,570,576
  5. Step 5: Solve for x
    x = 521,971,570,576/326,300
  6. Step 6: Final answer
    x = 1,599,667.70

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.