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Finding the Third Proportional to 430,292.25 and 936,582.75

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Solution

The third proportional to 430,292.25 and 936,582.75 is: 2,038,584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,292.25 : 936,582.75 = 936,582.75 : x
  2. Step 2: Convert to fraction form
    430,292.25/936,582.75 = 936,582.75/x
  3. Step 3: Cross multiply
    430,292.25x = 936,582.75 × 936,582.75
  4. Step 4: Simplify right side
    430,292.25x = 877,187,247,597.56
  5. Step 5: Solve for x
    x = 877,187,247,597.56/430,292.25
  6. Step 6: Final answer
    x = 2,038,584.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.