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Finding the Third Proportional to 297,708 and 447,237

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Solution

The third proportional to 297,708 and 447,237 is: 671,869.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,708 : 447,237 = 447,237 : x
  2. Step 2: Convert to fraction form
    297,708/447,237 = 447,237/x
  3. Step 3: Cross multiply
    297,708x = 447,237 × 447,237
  4. Step 4: Simplify right side
    297,708x = 200,020,934,169
  5. Step 5: Solve for x
    x = 200,020,934,169/297,708
  6. Step 6: Final answer
    x = 671,869.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.