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Finding the Third Proportional to 185,364.50 and 404,708

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Solution

The third proportional to 185,364.50 and 404,708 is: 883,602.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,364.50 : 404,708 = 404,708 : x
  2. Step 2: Convert to fraction form
    185,364.50/404,708 = 404,708/x
  3. Step 3: Cross multiply
    185,364.50x = 404,708 × 404,708
  4. Step 4: Simplify right side
    185,364.50x = 163,788,565,264
  5. Step 5: Solve for x
    x = 163,788,565,264/185,364.50
  6. Step 6: Final answer
    x = 883,602.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.