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Finding the Third Proportional to 308,913 and 493,345.50

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Solution

The third proportional to 308,913 and 493,345.50 is: 787,891.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,913 : 493,345.50 = 493,345.50 : x
  2. Step 2: Convert to fraction form
    308,913/493,345.50 = 493,345.50/x
  3. Step 3: Cross multiply
    308,913x = 493,345.50 × 493,345.50
  4. Step 4: Simplify right side
    308,913x = 243,389,782,370.25
  5. Step 5: Solve for x
    x = 243,389,782,370.25/308,913
  6. Step 6: Final answer
    x = 787,891.03

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.