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Finding the Third Proportional to 281,940 and 608,208

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Solution

The third proportional to 281,940 and 608,208 is: 1,312,041.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,940 : 608,208 = 608,208 : x
  2. Step 2: Convert to fraction form
    281,940/608,208 = 608,208/x
  3. Step 3: Cross multiply
    281,940x = 608,208 × 608,208
  4. Step 4: Simplify right side
    281,940x = 369,916,971,264
  5. Step 5: Solve for x
    x = 369,916,971,264/281,940
  6. Step 6: Final answer
    x = 1,312,041.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.