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Finding the Third Proportional to 281,308 and 616,022

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Solution

The third proportional to 281,308 and 616,022 is: 1,348,995.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,308 : 616,022 = 616,022 : x
  2. Step 2: Convert to fraction form
    281,308/616,022 = 616,022/x
  3. Step 3: Cross multiply
    281,308x = 616,022 × 616,022
  4. Step 4: Simplify right side
    281,308x = 379,483,104,484
  5. Step 5: Solve for x
    x = 379,483,104,484/281,308
  6. Step 6: Final answer
    x = 1,348,995.07

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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.