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Finding the Third Proportional to 362,434 and 532,971

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Solution

The third proportional to 362,434 and 532,971 is: 783,751.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,434 : 532,971 = 532,971 : x
  2. Step 2: Convert to fraction form
    362,434/532,971 = 532,971/x
  3. Step 3: Cross multiply
    362,434x = 532,971 × 532,971
  4. Step 4: Simplify right side
    362,434x = 284,058,086,841
  5. Step 5: Solve for x
    x = 284,058,086,841/362,434
  6. Step 6: Final answer
    x = 783,751.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.