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Finding the Third Proportional to 704,423.25 and 1,523,703.75

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Solution

The third proportional to 704,423.25 and 1,523,703.75 is: 3,295,849.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,423.25 : 1,523,703.75 = 1,523,703.75 : x
  2. Step 2: Convert to fraction form
    704,423.25/1,523,703.75 = 1,523,703.75/x
  3. Step 3: Cross multiply
    704,423.25x = 1,523,703.75 × 1,523,703.75
  4. Step 4: Simplify right side
    704,423.25x = 2,321,673,117,764.06
  5. Step 5: Solve for x
    x = 2,321,673,117,764.06/704,423.25
  6. Step 6: Final answer
    x = 3,295,849.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.