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Finding the Third Proportional to 757,069.88 and 1,163,668.50

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Solution

The third proportional to 757,069.88 and 1,163,668.50 is: 1,788,638.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,069.88 : 1,163,668.50 = 1,163,668.50 : x
  2. Step 2: Convert to fraction form
    757,069.88/1,163,668.50 = 1,163,668.50/x
  3. Step 3: Cross multiply
    757,069.88x = 1,163,668.50 × 1,163,668.50
  4. Step 4: Simplify right side
    757,069.88x = 1,354,124,377,892.25
  5. Step 5: Solve for x
    x = 1,354,124,377,892.25/757,069.88
  6. Step 6: Final answer
    x = 1,788,638.57

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.