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Finding the Third Proportional to 185,335.59 and 404,655.47

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Solution

The third proportional to 185,335.59 and 404,655.47 is: 883,511.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,335.59 : 404,655.47 = 404,655.47 : x
  2. Step 2: Convert to fraction form
    185,335.59/404,655.47 = 404,655.47/x
  3. Step 3: Cross multiply
    185,335.59x = 404,655.47 × 404,655.47
  4. Step 4: Simplify right side
    185,335.59x = 163,746,048,389.28
  5. Step 5: Solve for x
    x = 163,746,048,389.28/185,335.59
  6. Step 6: Final answer
    x = 883,511.07

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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.