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Finding the Third Proportional to 362,324 and 521,884

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Solution

The third proportional to 362,324 and 521,884 is: 751,710.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,324 : 521,884 = 521,884 : x
  2. Step 2: Convert to fraction form
    362,324/521,884 = 521,884/x
  3. Step 3: Cross multiply
    362,324x = 521,884 × 521,884
  4. Step 4: Simplify right side
    362,324x = 272,362,909,456
  5. Step 5: Solve for x
    x = 272,362,909,456/362,324
  6. Step 6: Final answer
    x = 751,710.93

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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.