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Finding the Third Proportional to 338,481 and 735,315

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Solution

The third proportional to 338,481 and 735,315 is: 1,597,395.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,481 : 735,315 = 735,315 : x
  2. Step 2: Convert to fraction form
    338,481/735,315 = 735,315/x
  3. Step 3: Cross multiply
    338,481x = 735,315 × 735,315
  4. Step 4: Simplify right side
    338,481x = 540,688,149,225
  5. Step 5: Solve for x
    x = 540,688,149,225/338,481
  6. Step 6: Final answer
    x = 1,597,395.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.