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Finding the Third Proportional to 762,763.50 and 1,035,919.13

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Solution

The third proportional to 762,763.50 and 1,035,919.13 is: 1,406,895.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,763.50 : 1,035,919.13 = 1,035,919.13 : x
  2. Step 2: Convert to fraction form
    762,763.50/1,035,919.13 = 1,035,919.13/x
  3. Step 3: Cross multiply
    762,763.50x = 1,035,919.13 × 1,035,919.13
  4. Step 4: Simplify right side
    762,763.50x = 1,073,128,433,540.77
  5. Step 5: Solve for x
    x = 1,073,128,433,540.77/762,763.50
  6. Step 6: Final answer
    x = 1,406,895.37

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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.