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Finding the Third Proportional to 229,432.50 and 492,080.63

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Solution

The third proportional to 229,432.50 and 492,080.63 is: 1,055,401.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,432.50 : 492,080.63 = 492,080.63 : x
  2. Step 2: Convert to fraction form
    229,432.50/492,080.63 = 492,080.63/x
  3. Step 3: Cross multiply
    229,432.50x = 492,080.63 × 492,080.63
  4. Step 4: Simplify right side
    229,432.50x = 242,143,341,500.39
  5. Step 5: Solve for x
    x = 242,143,341,500.39/229,432.50
  6. Step 6: Final answer
    x = 1,055,401.22

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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.