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Finding the Third Proportional to 493,469.72 and 745,582.22

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Solution

The third proportional to 493,469.72 and 745,582.22 is: 1,126,498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,469.72 : 745,582.22 = 745,582.22 : x
  2. Step 2: Convert to fraction form
    493,469.72/745,582.22 = 745,582.22/x
  3. Step 3: Cross multiply
    493,469.72x = 745,582.22 × 745,582.22
  4. Step 4: Simplify right side
    493,469.72x = 555,892,844,916.17
  5. Step 5: Solve for x
    x = 555,892,844,916.17/493,469.72
  6. Step 6: Final answer
    x = 1,126,498.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.