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Finding the Third Proportional to 301,513.50 and 468,873

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Solution

The third proportional to 301,513.50 and 468,873 is: 729,127.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,513.50 : 468,873 = 468,873 : x
  2. Step 2: Convert to fraction form
    301,513.50/468,873 = 468,873/x
  3. Step 3: Cross multiply
    301,513.50x = 468,873 × 468,873
  4. Step 4: Simplify right side
    301,513.50x = 219,841,890,129
  5. Step 5: Solve for x
    x = 219,841,890,129/301,513.50
  6. Step 6: Final answer
    x = 729,127.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.