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Finding the Third Proportional to 353,997 and 524,359.88

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Solution

The third proportional to 353,997 and 524,359.88 is: 776,710.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,997 : 524,359.88 = 524,359.88 : x
  2. Step 2: Convert to fraction form
    353,997/524,359.88 = 524,359.88/x
  3. Step 3: Cross multiply
    353,997x = 524,359.88 × 524,359.88
  4. Step 4: Simplify right side
    353,997x = 274,953,278,510.02
  5. Step 5: Solve for x
    x = 274,953,278,510.02/353,997
  6. Step 6: Final answer
    x = 776,710.76

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.