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Finding the Third Proportional to 762,943.25 and 1,066,708.25

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Solution

The third proportional to 762,943.25 and 1,066,708.25 is: 1,491,416.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,943.25 : 1,066,708.25 = 1,066,708.25 : x
  2. Step 2: Convert to fraction form
    762,943.25/1,066,708.25 = 1,066,708.25/x
  3. Step 3: Cross multiply
    762,943.25x = 1,066,708.25 × 1,066,708.25
  4. Step 4: Simplify right side
    762,943.25x = 1,137,866,490,618.06
  5. Step 5: Solve for x
    x = 1,137,866,490,618.06/762,943.25
  6. Step 6: Final answer
    x = 1,491,416.94

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.