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Finding the Third Proportional to 437,020 and 659,526

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Solution

The third proportional to 437,020 and 659,526 is: 995,319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,020 : 659,526 = 659,526 : x
  2. Step 2: Convert to fraction form
    437,020/659,526 = 659,526/x
  3. Step 3: Cross multiply
    437,020x = 659,526 × 659,526
  4. Step 4: Simplify right side
    437,020x = 434,974,544,676
  5. Step 5: Solve for x
    x = 434,974,544,676/437,020
  6. Step 6: Final answer
    x = 995,319.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.