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Finding the Third Proportional to 265,038.75 and 588,876.75

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Solution

The third proportional to 265,038.75 and 588,876.75 is: 1,308,396.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,038.75 : 588,876.75 = 588,876.75 : x
  2. Step 2: Convert to fraction form
    265,038.75/588,876.75 = 588,876.75/x
  3. Step 3: Cross multiply
    265,038.75x = 588,876.75 × 588,876.75
  4. Step 4: Simplify right side
    265,038.75x = 346,775,826,690.56
  5. Step 5: Solve for x
    x = 346,775,826,690.56/265,038.75
  6. Step 6: Final answer
    x = 1,308,396.70

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.