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Finding the Third Proportional to 296,576 and 459,611

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Solution

The third proportional to 296,576 and 459,611 is: 712,270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,576 : 459,611 = 459,611 : x
  2. Step 2: Convert to fraction form
    296,576/459,611 = 459,611/x
  3. Step 3: Cross multiply
    296,576x = 459,611 × 459,611
  4. Step 4: Simplify right side
    296,576x = 211,242,271,321
  5. Step 5: Solve for x
    x = 211,242,271,321/296,576
  6. Step 6: Final answer
    x = 712,270.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.