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Finding the Third Proportional to 296,428.50 and 659,178

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Solution

The third proportional to 296,428.50 and 659,178 is: 1,465,836.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,428.50 : 659,178 = 659,178 : x
  2. Step 2: Convert to fraction form
    296,428.50/659,178 = 659,178/x
  3. Step 3: Cross multiply
    296,428.50x = 659,178 × 659,178
  4. Step 4: Simplify right side
    296,428.50x = 434,515,635,684
  5. Step 5: Solve for x
    x = 434,515,635,684/296,428.50
  6. Step 6: Final answer
    x = 1,465,836.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.