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Finding the Third Proportional to 432,917.16 and 928,882.69

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Solution

The third proportional to 432,917.16 and 928,882.69 is: 1,993,044.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,917.16 : 928,882.69 = 928,882.69 : x
  2. Step 2: Convert to fraction form
    432,917.16/928,882.69 = 928,882.69/x
  3. Step 3: Cross multiply
    432,917.16x = 928,882.69 × 928,882.69
  4. Step 4: Simplify right side
    432,917.16x = 862,823,047,137.22
  5. Step 5: Solve for x
    x = 862,823,047,137.22/432,917.16
  6. Step 6: Final answer
    x = 1,993,044.25

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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.