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Finding the Third Proportional to 295,506 and 629,628

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Solution

The third proportional to 295,506 and 629,628 is: 1,341,534.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,506 : 629,628 = 629,628 : x
  2. Step 2: Convert to fraction form
    295,506/629,628 = 629,628/x
  3. Step 3: Cross multiply
    295,506x = 629,628 × 629,628
  4. Step 4: Simplify right side
    295,506x = 396,431,418,384
  5. Step 5: Solve for x
    x = 396,431,418,384/295,506
  6. Step 6: Final answer
    x = 1,341,534.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.