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Finding the Third Proportional to 304,377 and 473,144

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Solution

The third proportional to 304,377 and 473,144 is: 735,486.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,377 : 473,144 = 473,144 : x
  2. Step 2: Convert to fraction form
    304,377/473,144 = 473,144/x
  3. Step 3: Cross multiply
    304,377x = 473,144 × 473,144
  4. Step 4: Simplify right side
    304,377x = 223,865,244,736
  5. Step 5: Solve for x
    x = 223,865,244,736/304,377
  6. Step 6: Final answer
    x = 735,486.73

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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.