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Finding the Third Proportional to 337,262 and 745,942

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Solution

The third proportional to 337,262 and 745,942 is: 1,649,843.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,262 : 745,942 = 745,942 : x
  2. Step 2: Convert to fraction form
    337,262/745,942 = 745,942/x
  3. Step 3: Cross multiply
    337,262x = 745,942 × 745,942
  4. Step 4: Simplify right side
    337,262x = 556,429,467,364
  5. Step 5: Solve for x
    x = 556,429,467,364/337,262
  6. Step 6: Final answer
    x = 1,649,843.35

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.