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Finding the Third Proportional to 600,077.25 and 1,312,185.38

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Solution

The third proportional to 600,077.25 and 1,312,185.38 is: 2,869,348.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,077.25 : 1,312,185.38 = 1,312,185.38 : x
  2. Step 2: Convert to fraction form
    600,077.25/1,312,185.38 = 1,312,185.38/x
  3. Step 3: Cross multiply
    600,077.25x = 1,312,185.38 × 1,312,185.38
  4. Step 4: Simplify right side
    600,077.25x = 1,721,830,458,363.89
  5. Step 5: Solve for x
    x = 1,721,830,458,363.89/600,077.25
  6. Step 6: Final answer
    x = 2,869,348.00

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.