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Finding the Third Proportional to 414,380.63 and 623,113.13

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Solution

The third proportional to 414,380.63 and 623,113.13 is: 936,988.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,380.63 : 623,113.13 = 623,113.13 : x
  2. Step 2: Convert to fraction form
    414,380.63/623,113.13 = 623,113.13/x
  3. Step 3: Cross multiply
    414,380.63x = 623,113.13 × 623,113.13
  4. Step 4: Simplify right side
    414,380.63x = 388,269,966,547.27
  5. Step 5: Solve for x
    x = 388,269,966,547.27/414,380.63
  6. Step 6: Final answer
    x = 936,988.71

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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.