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Finding the Third Proportional to 363,771 and 745,038

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Solution

The third proportional to 363,771 and 745,038 is: 1,525,909.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,771 : 745,038 = 745,038 : x
  2. Step 2: Convert to fraction form
    363,771/745,038 = 745,038/x
  3. Step 3: Cross multiply
    363,771x = 745,038 × 745,038
  4. Step 4: Simplify right side
    363,771x = 555,081,621,444
  5. Step 5: Solve for x
    x = 555,081,621,444/363,771
  6. Step 6: Final answer
    x = 1,525,909.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.