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Finding the Third Proportional to 282,840 and 606,160

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Solution

The third proportional to 282,840 and 606,160 is: 1,299,073.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,840 : 606,160 = 606,160 : x
  2. Step 2: Convert to fraction form
    282,840/606,160 = 606,160/x
  3. Step 3: Cross multiply
    282,840x = 606,160 × 606,160
  4. Step 4: Simplify right side
    282,840x = 367,429,945,600
  5. Step 5: Solve for x
    x = 367,429,945,600/282,840
  6. Step 6: Final answer
    x = 1,299,073.49

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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.