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Finding the Third Proportional to 448,666 and 689,627

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Solution

The third proportional to 448,666 and 689,627 is: 1,059,998.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,666 : 689,627 = 689,627 : x
  2. Step 2: Convert to fraction form
    448,666/689,627 = 689,627/x
  3. Step 3: Cross multiply
    448,666x = 689,627 × 689,627
  4. Step 4: Simplify right side
    448,666x = 475,585,399,129
  5. Step 5: Solve for x
    x = 475,585,399,129/448,666
  6. Step 6: Final answer
    x = 1,059,998.75

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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.