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Finding the Third Proportional to 305,988 and 467,748

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Solution

The third proportional to 305,988 and 467,748 is: 715,022.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,988 : 467,748 = 467,748 : x
  2. Step 2: Convert to fraction form
    305,988/467,748 = 467,748/x
  3. Step 3: Cross multiply
    305,988x = 467,748 × 467,748
  4. Step 4: Simplify right side
    305,988x = 218,788,191,504
  5. Step 5: Solve for x
    x = 218,788,191,504/305,988
  6. Step 6: Final answer
    x = 715,022.13

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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.