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Finding the Third Proportional to 360,807 and 783,097.50

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Solution

The third proportional to 360,807 and 783,097.50 is: 1,699,639.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,807 : 783,097.50 = 783,097.50 : x
  2. Step 2: Convert to fraction form
    360,807/783,097.50 = 783,097.50/x
  3. Step 3: Cross multiply
    360,807x = 783,097.50 × 783,097.50
  4. Step 4: Simplify right side
    360,807x = 613,241,694,506.25
  5. Step 5: Solve for x
    x = 613,241,694,506.25/360,807
  6. Step 6: Final answer
    x = 1,699,639.13

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.