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Finding the Third Proportional to 464,896.13 and 681,415.88

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Solution

The third proportional to 464,896.13 and 681,415.88 is: 998,777.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,896.13 : 681,415.88 = 681,415.88 : x
  2. Step 2: Convert to fraction form
    464,896.13/681,415.88 = 681,415.88/x
  3. Step 3: Cross multiply
    464,896.13x = 681,415.88 × 681,415.88
  4. Step 4: Simplify right side
    464,896.13x = 464,327,594,702.02
  5. Step 5: Solve for x
    x = 464,327,594,702.02/464,896.13
  6. Step 6: Final answer
    x = 998,777.08

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.