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Finding the Third Proportional to 210,202 and 461,284

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Solution

The third proportional to 210,202 and 461,284 is: 1,012,278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,202 : 461,284 = 461,284 : x
  2. Step 2: Convert to fraction form
    210,202/461,284 = 461,284/x
  3. Step 3: Cross multiply
    210,202x = 461,284 × 461,284
  4. Step 4: Simplify right side
    210,202x = 212,782,928,656
  5. Step 5: Solve for x
    x = 212,782,928,656/210,202
  6. Step 6: Final answer
    x = 1,012,278.33

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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.