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Finding the Third Proportional to 272,873.81 and 588,394.13

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Solution

The third proportional to 272,873.81 and 588,394.13 is: 1,268,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,873.81 : 588,394.13 = 588,394.13 : x
  2. Step 2: Convert to fraction form
    272,873.81/588,394.13 = 588,394.13/x
  3. Step 3: Cross multiply
    272,873.81x = 588,394.13 × 588,394.13
  4. Step 4: Simplify right side
    272,873.81x = 346,207,646,334.52
  5. Step 5: Solve for x
    x = 346,207,646,334.52/272,873.81
  6. Step 6: Final answer
    x = 1,268,746.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.