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Finding the Third Proportional to 414,460 and 623,228.50

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Solution

The third proportional to 414,460 and 623,228.50 is: 937,156.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,460 : 623,228.50 = 623,228.50 : x
  2. Step 2: Convert to fraction form
    414,460/623,228.50 = 623,228.50/x
  3. Step 3: Cross multiply
    414,460x = 623,228.50 × 623,228.50
  4. Step 4: Simplify right side
    414,460x = 388,413,763,212.25
  5. Step 5: Solve for x
    x = 388,413,763,212.25/414,460
  6. Step 6: Final answer
    x = 937,156.21

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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.