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Finding the Third Proportional to 362,420 and 522,030

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Solution

The third proportional to 362,420 and 522,030 is: 751,932.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,420 : 522,030 = 522,030 : x
  2. Step 2: Convert to fraction form
    362,420/522,030 = 522,030/x
  3. Step 3: Cross multiply
    362,420x = 522,030 × 522,030
  4. Step 4: Simplify right side
    362,420x = 272,515,320,900
  5. Step 5: Solve for x
    x = 272,515,320,900/362,420
  6. Step 6: Final answer
    x = 751,932.35

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.