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Finding the Third Proportional to 305,377 and 475,516

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Solution

The third proportional to 305,377 and 475,516 is: 740,446.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,377 : 475,516 = 475,516 : x
  2. Step 2: Convert to fraction form
    305,377/475,516 = 475,516/x
  3. Step 3: Cross multiply
    305,377x = 475,516 × 475,516
  4. Step 4: Simplify right side
    305,377x = 226,115,466,256
  5. Step 5: Solve for x
    x = 226,115,466,256/305,377
  6. Step 6: Final answer
    x = 740,446.94

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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.