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Finding the Third Proportional to 448,646 and 689,598

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Solution

The third proportional to 448,646 and 689,598 is: 1,059,956.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,646 : 689,598 = 689,598 : x
  2. Step 2: Convert to fraction form
    448,646/689,598 = 689,598/x
  3. Step 3: Cross multiply
    448,646x = 689,598 × 689,598
  4. Step 4: Simplify right side
    448,646x = 475,545,401,604
  5. Step 5: Solve for x
    x = 475,545,401,604/448,646
  6. Step 6: Final answer
    x = 1,059,956.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.