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Finding the Third Proportional to 312,899.63 and 681,567.75

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Solution

The third proportional to 312,899.63 and 681,567.75 is: 1,484,612.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,899.63 : 681,567.75 = 681,567.75 : x
  2. Step 2: Convert to fraction form
    312,899.63/681,567.75 = 681,567.75/x
  3. Step 3: Cross multiply
    312,899.63x = 681,567.75 × 681,567.75
  4. Step 4: Simplify right side
    312,899.63x = 464,534,597,840.06
  5. Step 5: Solve for x
    x = 464,534,597,840.06/312,899.63
  6. Step 6: Final answer
    x = 1,484,612.19

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.