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Finding the Third Proportional to 407,632.50 and 610,476.75

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Solution

The third proportional to 407,632.50 and 610,476.75 is: 914,259.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,632.50 : 610,476.75 = 610,476.75 : x
  2. Step 2: Convert to fraction form
    407,632.50/610,476.75 = 610,476.75/x
  3. Step 3: Cross multiply
    407,632.50x = 610,476.75 × 610,476.75
  4. Step 4: Simplify right side
    407,632.50x = 372,681,862,290.56
  5. Step 5: Solve for x
    x = 372,681,862,290.56/407,632.50
  6. Step 6: Final answer
    x = 914,259.44

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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.