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Finding the Third Proportional to 337,263 and 745,938

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Solution

The third proportional to 337,263 and 745,938 is: 1,649,820.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,263 : 745,938 = 745,938 : x
  2. Step 2: Convert to fraction form
    337,263/745,938 = 745,938/x
  3. Step 3: Cross multiply
    337,263x = 745,938 × 745,938
  4. Step 4: Simplify right side
    337,263x = 556,423,499,844
  5. Step 5: Solve for x
    x = 556,423,499,844/337,263
  6. Step 6: Final answer
    x = 1,649,820.76

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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.