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Finding the Third Proportional to 292,496 and 628,647

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Solution

The third proportional to 292,496 and 628,647 is: 1,351,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,496 : 628,647 = 628,647 : x
  2. Step 2: Convert to fraction form
    292,496/628,647 = 628,647/x
  3. Step 3: Cross multiply
    292,496x = 628,647 × 628,647
  4. Step 4: Simplify right side
    292,496x = 395,197,050,609
  5. Step 5: Solve for x
    x = 395,197,050,609/292,496
  6. Step 6: Final answer
    x = 1,351,119.50

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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.