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Finding the Third Proportional to 295,314 and 632,589

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Solution

The third proportional to 295,314 and 632,589 is: 1,355,062.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,314 : 632,589 = 632,589 : x
  2. Step 2: Convert to fraction form
    295,314/632,589 = 632,589/x
  3. Step 3: Cross multiply
    295,314x = 632,589 × 632,589
  4. Step 4: Simplify right side
    295,314x = 400,168,842,921
  5. Step 5: Solve for x
    x = 400,168,842,921/295,314
  6. Step 6: Final answer
    x = 1,355,062.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.