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Finding the Third Proportional to 416,179.50 and 623,130

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Solution

The third proportional to 416,179.50 and 623,130 is: 932,989.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,179.50 : 623,130 = 623,130 : x
  2. Step 2: Convert to fraction form
    416,179.50/623,130 = 623,130/x
  3. Step 3: Cross multiply
    416,179.50x = 623,130 × 623,130
  4. Step 4: Simplify right side
    416,179.50x = 388,290,996,900
  5. Step 5: Solve for x
    x = 388,290,996,900/416,179.50
  6. Step 6: Final answer
    x = 932,989.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.