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Finding the Third Proportional to 362,320 and 522,581

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Solution

The third proportional to 362,320 and 522,581 is: 753,728.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,320 : 522,581 = 522,581 : x
  2. Step 2: Convert to fraction form
    362,320/522,581 = 522,581/x
  3. Step 3: Cross multiply
    362,320x = 522,581 × 522,581
  4. Step 4: Simplify right side
    362,320x = 273,090,901,561
  5. Step 5: Solve for x
    x = 273,090,901,561/362,320
  6. Step 6: Final answer
    x = 753,728.48

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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.