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Finding the Third Proportional to 292,550 and 629,488

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Solution

The third proportional to 292,550 and 629,488 is: 1,354,486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,550 : 629,488 = 629,488 : x
  2. Step 2: Convert to fraction form
    292,550/629,488 = 629,488/x
  3. Step 3: Cross multiply
    292,550x = 629,488 × 629,488
  4. Step 4: Simplify right side
    292,550x = 396,255,142,144
  5. Step 5: Solve for x
    x = 396,255,142,144/292,550
  6. Step 6: Final answer
    x = 1,354,486.90

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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.