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Finding the Third Proportional to 762,765.75 and 1,035,922.50

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Solution

The third proportional to 762,765.75 and 1,035,922.50 is: 1,406,900.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,765.75 : 1,035,922.50 = 1,035,922.50 : x
  2. Step 2: Convert to fraction form
    762,765.75/1,035,922.50 = 1,035,922.50/x
  3. Step 3: Cross multiply
    762,765.75x = 1,035,922.50 × 1,035,922.50
  4. Step 4: Simplify right side
    762,765.75x = 1,073,135,426,006.25
  5. Step 5: Solve for x
    x = 1,073,135,426,006.25/762,765.75
  6. Step 6: Final answer
    x = 1,406,900.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.