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Finding the Third Proportional to 448,725 and 673,416

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Solution

The third proportional to 448,725 and 673,416 is: 1,010,616.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,725 : 673,416 = 673,416 : x
  2. Step 2: Convert to fraction form
    448,725/673,416 = 673,416/x
  3. Step 3: Cross multiply
    448,725x = 673,416 × 673,416
  4. Step 4: Simplify right side
    448,725x = 453,489,109,056
  5. Step 5: Solve for x
    x = 453,489,109,056/448,725
  6. Step 6: Final answer
    x = 1,010,616.99

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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.