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Finding the Third Proportional to 205,677 and 450,702

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Solution

The third proportional to 205,677 and 450,702 is: 987,627.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,677 : 450,702 = 450,702 : x
  2. Step 2: Convert to fraction form
    205,677/450,702 = 450,702/x
  3. Step 3: Cross multiply
    205,677x = 450,702 × 450,702
  4. Step 4: Simplify right side
    205,677x = 203,132,292,804
  5. Step 5: Solve for x
    x = 203,132,292,804/205,677
  6. Step 6: Final answer
    x = 987,627.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.