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Finding the Third Proportional to 358,317 and 783,085.50

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Solution

The third proportional to 358,317 and 783,085.50 is: 1,711,397.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,317 : 783,085.50 = 783,085.50 : x
  2. Step 2: Convert to fraction form
    358,317/783,085.50 = 783,085.50/x
  3. Step 3: Cross multiply
    358,317x = 783,085.50 × 783,085.50
  4. Step 4: Simplify right side
    358,317x = 613,222,900,310.25
  5. Step 5: Solve for x
    x = 613,222,900,310.25/358,317
  6. Step 6: Final answer
    x = 1,711,397.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.