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Finding the Third Proportional to 308,701.13 and 484,898.06

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Solution

The third proportional to 308,701.13 and 484,898.06 is: 761,662.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,701.13 : 484,898.06 = 484,898.06 : x
  2. Step 2: Convert to fraction form
    308,701.13/484,898.06 = 484,898.06/x
  3. Step 3: Cross multiply
    308,701.13x = 484,898.06 × 484,898.06
  4. Step 4: Simplify right side
    308,701.13x = 235,126,131,016.25
  5. Step 5: Solve for x
    x = 235,126,131,016.25/308,701.13
  6. Step 6: Final answer
    x = 761,662.70

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.