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Finding the Third Proportional to 448,637 and 689,587

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Solution

The third proportional to 448,637 and 689,587 is: 1,059,944.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,637 : 689,587 = 689,587 : x
  2. Step 2: Convert to fraction form
    448,637/689,587 = 689,587/x
  3. Step 3: Cross multiply
    448,637x = 689,587 × 689,587
  4. Step 4: Simplify right side
    448,637x = 475,530,230,569
  5. Step 5: Solve for x
    x = 475,530,230,569/448,637
  6. Step 6: Final answer
    x = 1,059,944.30

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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.