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Finding the Third Proportional to 296,611.88 and 459,664.88

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Solution

The third proportional to 296,611.88 and 459,664.88 is: 712,351.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,611.88 : 459,664.88 = 459,664.88 : x
  2. Step 2: Convert to fraction form
    296,611.88/459,664.88 = 459,664.88/x
  3. Step 3: Cross multiply
    296,611.88x = 459,664.88 × 459,664.88
  4. Step 4: Simplify right side
    296,611.88x = 211,291,797,308.77
  5. Step 5: Solve for x
    x = 211,291,797,308.77/296,611.88
  6. Step 6: Final answer
    x = 712,351.11

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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.