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Finding the Third Proportional to 232,800.75 and 498,807

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Solution

The third proportional to 232,800.75 and 498,807 is: 1,068,761.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,800.75 : 498,807 = 498,807 : x
  2. Step 2: Convert to fraction form
    232,800.75/498,807 = 498,807/x
  3. Step 3: Cross multiply
    232,800.75x = 498,807 × 498,807
  4. Step 4: Simplify right side
    232,800.75x = 248,808,423,249
  5. Step 5: Solve for x
    x = 248,808,423,249/232,800.75
  6. Step 6: Final answer
    x = 1,068,761.26

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Why These Related Problems?

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