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Finding the Third Proportional to 763,265.25 and 1,036,577.25

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Solution

The third proportional to 763,265.25 and 1,036,577.25 is: 1,407,757.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,265.25 : 1,036,577.25 = 1,036,577.25 : x
  2. Step 2: Convert to fraction form
    763,265.25/1,036,577.25 = 1,036,577.25/x
  3. Step 3: Cross multiply
    763,265.25x = 1,036,577.25 × 1,036,577.25
  4. Step 4: Simplify right side
    763,265.25x = 1,074,492,395,217.56
  5. Step 5: Solve for x
    x = 1,074,492,395,217.56/763,265.25
  6. Step 6: Final answer
    x = 1,407,757.52

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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.