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Finding the Third Proportional to 764,085 and 1,034,025.75

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Solution

The third proportional to 764,085 and 1,034,025.75 is: 1,399,332.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,085 : 1,034,025.75 = 1,034,025.75 : x
  2. Step 2: Convert to fraction form
    764,085/1,034,025.75 = 1,034,025.75/x
  3. Step 3: Cross multiply
    764,085x = 1,034,025.75 × 1,034,025.75
  4. Step 4: Simplify right side
    764,085x = 1,069,209,251,663.06
  5. Step 5: Solve for x
    x = 1,069,209,251,663.06/764,085
  6. Step 6: Final answer
    x = 1,399,332.86

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.