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Finding the Third Proportional to 448,957 and 673,415

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Solution

The third proportional to 448,957 and 673,415 is: 1,010,091.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,957 : 673,415 = 673,415 : x
  2. Step 2: Convert to fraction form
    448,957/673,415 = 673,415/x
  3. Step 3: Cross multiply
    448,957x = 673,415 × 673,415
  4. Step 4: Simplify right side
    448,957x = 453,487,762,225
  5. Step 5: Solve for x
    x = 453,487,762,225/448,957
  6. Step 6: Final answer
    x = 1,010,091.75

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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.