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Finding the Third Proportional to 301,828.50 and 656,073

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Solution

The third proportional to 301,828.50 and 656,073 is: 1,426,080.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,828.50 : 656,073 = 656,073 : x
  2. Step 2: Convert to fraction form
    301,828.50/656,073 = 656,073/x
  3. Step 3: Cross multiply
    301,828.50x = 656,073 × 656,073
  4. Step 4: Simplify right side
    301,828.50x = 430,431,781,329
  5. Step 5: Solve for x
    x = 430,431,781,329/301,828.50
  6. Step 6: Final answer
    x = 1,426,080.64

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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.