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Finding the Third Proportional to 357,909 and 767,050.50

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Solution

The third proportional to 357,909 and 767,050.50 is: 1,643,899.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,909 : 767,050.50 = 767,050.50 : x
  2. Step 2: Convert to fraction form
    357,909/767,050.50 = 767,050.50/x
  3. Step 3: Cross multiply
    357,909x = 767,050.50 × 767,050.50
  4. Step 4: Simplify right side
    357,909x = 588,366,469,550.25
  5. Step 5: Solve for x
    x = 588,366,469,550.25/357,909
  6. Step 6: Final answer
    x = 1,643,899.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.