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Finding the Third Proportional to 573,921 and 727,695

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Solution

The third proportional to 573,921 and 727,695 is: 922,670.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,921 : 727,695 = 727,695 : x
  2. Step 2: Convert to fraction form
    573,921/727,695 = 727,695/x
  3. Step 3: Cross multiply
    573,921x = 727,695 × 727,695
  4. Step 4: Simplify right side
    573,921x = 529,540,013,025
  5. Step 5: Solve for x
    x = 529,540,013,025/573,921
  6. Step 6: Final answer
    x = 922,670.56

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.