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Finding the Third Proportional to 448,664 and 689,622

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Solution

The third proportional to 448,664 and 689,622 is: 1,059,988.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,664 : 689,622 = 689,622 : x
  2. Step 2: Convert to fraction form
    448,664/689,622 = 689,622/x
  3. Step 3: Cross multiply
    448,664x = 689,622 × 689,622
  4. Step 4: Simplify right side
    448,664x = 475,578,502,884
  5. Step 5: Solve for x
    x = 475,578,502,884/448,664
  6. Step 6: Final answer
    x = 1,059,988.10

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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.