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Finding the Third Proportional to 310,911 and 466,611

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Solution

The third proportional to 310,911 and 466,611 is: 700,283.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,911 : 466,611 = 466,611 : x
  2. Step 2: Convert to fraction form
    310,911/466,611 = 466,611/x
  3. Step 3: Cross multiply
    310,911x = 466,611 × 466,611
  4. Step 4: Simplify right side
    310,911x = 217,725,825,321
  5. Step 5: Solve for x
    x = 217,725,825,321/310,911
  6. Step 6: Final answer
    x = 700,283.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.