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Finding the Third Proportional to 282,777 and 606,495

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Solution

The third proportional to 282,777 and 606,495 is: 1,300,799.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,777 : 606,495 = 606,495 : x
  2. Step 2: Convert to fraction form
    282,777/606,495 = 606,495/x
  3. Step 3: Cross multiply
    282,777x = 606,495 × 606,495
  4. Step 4: Simplify right side
    282,777x = 367,836,185,025
  5. Step 5: Solve for x
    x = 367,836,185,025/282,777
  6. Step 6: Final answer
    x = 1,300,799.52

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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.