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Finding the Third Proportional to 301,410.84 and 650,145.23

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Solution

The third proportional to 301,410.84 and 650,145.23 is: 1,402,367.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,410.84 : 650,145.23 = 650,145.23 : x
  2. Step 2: Convert to fraction form
    301,410.84/650,145.23 = 650,145.23/x
  3. Step 3: Cross multiply
    301,410.84x = 650,145.23 × 650,145.23
  4. Step 4: Simplify right side
    301,410.84x = 422,688,825,780.52
  5. Step 5: Solve for x
    x = 422,688,825,780.52/301,410.84
  6. Step 6: Final answer
    x = 1,402,367.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.