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Finding the Third Proportional to 232,803 and 498,811.50

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Solution

The third proportional to 232,803 and 498,811.50 is: 1,068,770.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,803 : 498,811.50 = 498,811.50 : x
  2. Step 2: Convert to fraction form
    232,803/498,811.50 = 498,811.50/x
  3. Step 3: Cross multiply
    232,803x = 498,811.50 × 498,811.50
  4. Step 4: Simplify right side
    232,803x = 248,812,912,532.25
  5. Step 5: Solve for x
    x = 248,812,912,532.25/232,803
  6. Step 6: Final answer
    x = 1,068,770.22

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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.