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Finding the Third Proportional to 232,829.63 and 498,864.75

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Solution

The third proportional to 232,829.63 and 498,864.75 is: 1,068,876.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,829.63 : 498,864.75 = 498,864.75 : x
  2. Step 2: Convert to fraction form
    232,829.63/498,864.75 = 498,864.75/x
  3. Step 3: Cross multiply
    232,829.63x = 498,864.75 × 498,864.75
  4. Step 4: Simplify right side
    232,829.63x = 248,866,038,792.56
  5. Step 5: Solve for x
    x = 248,866,038,792.56/232,829.63
  6. Step 6: Final answer
    x = 1,068,876.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.