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Finding the Third Proportional to 430,623.84 and 927,055.13

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Solution

The third proportional to 430,623.84 and 927,055.13 is: 1,995,781.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,623.84 : 927,055.13 = 927,055.13 : x
  2. Step 2: Convert to fraction form
    430,623.84/927,055.13 = 927,055.13/x
  3. Step 3: Cross multiply
    430,623.84x = 927,055.13 × 927,055.13
  4. Step 4: Simplify right side
    430,623.84x = 859,431,204,788.77
  5. Step 5: Solve for x
    x = 859,431,204,788.77/430,623.84
  6. Step 6: Final answer
    x = 1,995,781.74

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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.