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Finding the Third Proportional to 712,503 and 1,065,197.25

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Solution

The third proportional to 712,503 and 1,065,197.25 is: 1,592,477.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,503 : 1,065,197.25 = 1,065,197.25 : x
  2. Step 2: Convert to fraction form
    712,503/1,065,197.25 = 1,065,197.25/x
  3. Step 3: Cross multiply
    712,503x = 1,065,197.25 × 1,065,197.25
  4. Step 4: Simplify right side
    712,503x = 1,134,645,181,407.56
  5. Step 5: Solve for x
    x = 1,134,645,181,407.56/712,503
  6. Step 6: Final answer
    x = 1,592,477.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.