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Finding the Third Proportional to 303,570 and 659,627

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Solution

The third proportional to 303,570 and 659,627 is: 1,433,302.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,570 : 659,627 = 659,627 : x
  2. Step 2: Convert to fraction form
    303,570/659,627 = 659,627/x
  3. Step 3: Cross multiply
    303,570x = 659,627 × 659,627
  4. Step 4: Simplify right side
    303,570x = 435,107,779,129
  5. Step 5: Solve for x
    x = 435,107,779,129/303,570
  6. Step 6: Final answer
    x = 1,433,302.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.