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Finding the Third Proportional to 304,077 and 470,877

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Solution

The third proportional to 304,077 and 470,877 is: 729,174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,077 : 470,877 = 470,877 : x
  2. Step 2: Convert to fraction form
    304,077/470,877 = 470,877/x
  3. Step 3: Cross multiply
    304,077x = 470,877 × 470,877
  4. Step 4: Simplify right side
    304,077x = 221,725,149,129
  5. Step 5: Solve for x
    x = 221,725,149,129/304,077
  6. Step 6: Final answer
    x = 729,174.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.