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Finding the Third Proportional to 363,514 and 745,160

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Solution

The third proportional to 363,514 and 745,160 is: 1,527,488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,514 : 745,160 = 745,160 : x
  2. Step 2: Convert to fraction form
    363,514/745,160 = 745,160/x
  3. Step 3: Cross multiply
    363,514x = 745,160 × 745,160
  4. Step 4: Simplify right side
    363,514x = 555,263,425,600
  5. Step 5: Solve for x
    x = 555,263,425,600/363,514
  6. Step 6: Final answer
    x = 1,527,488.42

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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.