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Finding the Third Proportional to 301,107 and 654,702

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Solution

The third proportional to 301,107 and 654,702 is: 1,423,529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,107 : 654,702 = 654,702 : x
  2. Step 2: Convert to fraction form
    301,107/654,702 = 654,702/x
  3. Step 3: Cross multiply
    301,107x = 654,702 × 654,702
  4. Step 4: Simplify right side
    301,107x = 428,634,708,804
  5. Step 5: Solve for x
    x = 428,634,708,804/301,107
  6. Step 6: Final answer
    x = 1,423,529.54

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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.