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Finding the Third Proportional to 768,225 and 1,019,416.50

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Solution

The third proportional to 768,225 and 1,019,416.50 is: 1,352,741.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,225 : 1,019,416.50 = 1,019,416.50 : x
  2. Step 2: Convert to fraction form
    768,225/1,019,416.50 = 1,019,416.50/x
  3. Step 3: Cross multiply
    768,225x = 1,019,416.50 × 1,019,416.50
  4. Step 4: Simplify right side
    768,225x = 1,039,210,000,472.25
  5. Step 5: Solve for x
    x = 1,039,210,000,472.25/768,225
  6. Step 6: Final answer
    x = 1,352,741.71

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.