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Finding the Third Proportional to 240,610 and 522,202

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Solution

The third proportional to 240,610 and 522,202 is: 1,133,348.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,610 : 522,202 = 522,202 : x
  2. Step 2: Convert to fraction form
    240,610/522,202 = 522,202/x
  3. Step 3: Cross multiply
    240,610x = 522,202 × 522,202
  4. Step 4: Simplify right side
    240,610x = 272,694,928,804
  5. Step 5: Solve for x
    x = 272,694,928,804/240,610
  6. Step 6: Final answer
    x = 1,133,348.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.