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Finding the Third Proportional to 446,239.13 and 679,822.88

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Solution

The third proportional to 446,239.13 and 679,822.88 is: 1,035,675.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,239.13 : 679,822.88 = 679,822.88 : x
  2. Step 2: Convert to fraction form
    446,239.13/679,822.88 = 679,822.88/x
  3. Step 3: Cross multiply
    446,239.13x = 679,822.88 × 679,822.88
  4. Step 4: Simplify right side
    446,239.13x = 462,159,141,373.27
  5. Step 5: Solve for x
    x = 462,159,141,373.27/446,239.13
  6. Step 6: Final answer
    x = 1,035,675.98

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.