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Finding the Third Proportional to 305,295 and 467,033

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Solution

The third proportional to 305,295 and 467,033 is: 714,455.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,295 : 467,033 = 467,033 : x
  2. Step 2: Convert to fraction form
    305,295/467,033 = 467,033/x
  3. Step 3: Cross multiply
    305,295x = 467,033 × 467,033
  4. Step 4: Simplify right side
    305,295x = 218,119,823,089
  5. Step 5: Solve for x
    x = 218,119,823,089/305,295
  6. Step 6: Final answer
    x = 714,455.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.