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Finding the Third Proportional to 573,885 and 727,645.50

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Solution

The third proportional to 573,885 and 727,645.50 is: 922,602.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,885 : 727,645.50 = 727,645.50 : x
  2. Step 2: Convert to fraction form
    573,885/727,645.50 = 727,645.50/x
  3. Step 3: Cross multiply
    573,885x = 727,645.50 × 727,645.50
  4. Step 4: Simplify right side
    573,885x = 529,467,973,670.25
  5. Step 5: Solve for x
    x = 529,467,973,670.25/573,885
  6. Step 6: Final answer
    x = 922,602.91

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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.