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Finding the Third Proportional to 507,084.75 and 784,775.25

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Solution

The third proportional to 507,084.75 and 784,775.25 is: 1,214,535.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,084.75 : 784,775.25 = 784,775.25 : x
  2. Step 2: Convert to fraction form
    507,084.75/784,775.25 = 784,775.25/x
  3. Step 3: Cross multiply
    507,084.75x = 784,775.25 × 784,775.25
  4. Step 4: Simplify right side
    507,084.75x = 615,872,193,012.56
  5. Step 5: Solve for x
    x = 615,872,193,012.56/507,084.75
  6. Step 6: Final answer
    x = 1,214,535.03

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.