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Finding the Third Proportional to 416,180.25 and 623,130.75

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Solution

The third proportional to 416,180.25 and 623,130.75 is: 932,989.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,180.25 : 623,130.75 = 623,130.75 : x
  2. Step 2: Convert to fraction form
    416,180.25/623,130.75 = 623,130.75/x
  3. Step 3: Cross multiply
    416,180.25x = 623,130.75 × 623,130.75
  4. Step 4: Simplify right side
    416,180.25x = 388,291,931,595.56
  5. Step 5: Solve for x
    x = 388,291,931,595.56/416,180.25
  6. Step 6: Final answer
    x = 932,989.81

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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.