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Finding the Third Proportional to 337,087 and 722,149

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Solution

The third proportional to 337,087 and 722,149 is: 1,547,075.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,087 : 722,149 = 722,149 : x
  2. Step 2: Convert to fraction form
    337,087/722,149 = 722,149/x
  3. Step 3: Cross multiply
    337,087x = 722,149 × 722,149
  4. Step 4: Simplify right side
    337,087x = 521,499,178,201
  5. Step 5: Solve for x
    x = 521,499,178,201/337,087
  6. Step 6: Final answer
    x = 1,547,075.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.