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Finding the Third Proportional to 421,756.88 and 601,083.28

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Solution

The third proportional to 421,756.88 and 601,083.28 is: 856,657.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,756.88 : 601,083.28 = 601,083.28 : x
  2. Step 2: Convert to fraction form
    421,756.88/601,083.28 = 601,083.28/x
  3. Step 3: Cross multiply
    421,756.88x = 601,083.28 × 601,083.28
  4. Step 4: Simplify right side
    421,756.88x = 361,301,110,998.27
  5. Step 5: Solve for x
    x = 361,301,110,998.27/421,756.88
  6. Step 6: Final answer
    x = 856,657.31

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.