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Finding the Third Proportional to 355,866 and 783,033

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Solution

The third proportional to 355,866 and 783,033 is: 1,722,953.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,866 : 783,033 = 783,033 : x
  2. Step 2: Convert to fraction form
    355,866/783,033 = 783,033/x
  3. Step 3: Cross multiply
    355,866x = 783,033 × 783,033
  4. Step 4: Simplify right side
    355,866x = 613,140,679,089
  5. Step 5: Solve for x
    x = 613,140,679,089/355,866
  6. Step 6: Final answer
    x = 1,722,953.81

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.