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Finding the Third Proportional to 292,362 and 629,841

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Solution

The third proportional to 292,362 and 629,841 is: 1,356,878.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,362 : 629,841 = 629,841 : x
  2. Step 2: Convert to fraction form
    292,362/629,841 = 629,841/x
  3. Step 3: Cross multiply
    292,362x = 629,841 × 629,841
  4. Step 4: Simplify right side
    292,362x = 396,699,685,281
  5. Step 5: Solve for x
    x = 396,699,685,281/292,362
  6. Step 6: Final answer
    x = 1,356,878.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.