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Finding the Third Proportional to 464,550.75 and 1,023,394.50

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Solution

The third proportional to 464,550.75 and 1,023,394.50 is: 2,254,514.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,550.75 : 1,023,394.50 = 1,023,394.50 : x
  2. Step 2: Convert to fraction form
    464,550.75/1,023,394.50 = 1,023,394.50/x
  3. Step 3: Cross multiply
    464,550.75x = 1,023,394.50 × 1,023,394.50
  4. Step 4: Simplify right side
    464,550.75x = 1,047,336,302,630.25
  5. Step 5: Solve for x
    x = 1,047,336,302,630.25/464,550.75
  6. Step 6: Final answer
    x = 2,254,514.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.