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Finding the Third Proportional to 430,673.25 and 927,161.25

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Solution

The third proportional to 430,673.25 and 927,161.25 is: 1,996,009.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,673.25 : 927,161.25 = 927,161.25 : x
  2. Step 2: Convert to fraction form
    430,673.25/927,161.25 = 927,161.25/x
  3. Step 3: Cross multiply
    430,673.25x = 927,161.25 × 927,161.25
  4. Step 4: Simplify right side
    430,673.25x = 859,627,983,501.56
  5. Step 5: Solve for x
    x = 859,627,983,501.56/430,673.25
  6. Step 6: Final answer
    x = 1,996,009.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.