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Finding the Third Proportional to 292,548 and 629,484

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Solution

The third proportional to 292,548 and 629,484 is: 1,354,478.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,548 : 629,484 = 629,484 : x
  2. Step 2: Convert to fraction form
    292,548/629,484 = 629,484/x
  3. Step 3: Cross multiply
    292,548x = 629,484 × 629,484
  4. Step 4: Simplify right side
    292,548x = 396,250,106,256
  5. Step 5: Solve for x
    x = 396,250,106,256/292,548
  6. Step 6: Final answer
    x = 1,354,478.94

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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.