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Finding the Third Proportional to 337,905 and 472,411

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Solution

The third proportional to 337,905 and 472,411 is: 660,458.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,905 : 472,411 = 472,411 : x
  2. Step 2: Convert to fraction form
    337,905/472,411 = 472,411/x
  3. Step 3: Cross multiply
    337,905x = 472,411 × 472,411
  4. Step 4: Simplify right side
    337,905x = 223,172,152,921
  5. Step 5: Solve for x
    x = 223,172,152,921/337,905
  6. Step 6: Final answer
    x = 660,458.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.