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Finding the Third Proportional to 289,607 and 448,424

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Solution

The third proportional to 289,607 and 448,424 is: 694,334.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,607 : 448,424 = 448,424 : x
  2. Step 2: Convert to fraction form
    289,607/448,424 = 448,424/x
  3. Step 3: Cross multiply
    289,607x = 448,424 × 448,424
  4. Step 4: Simplify right side
    289,607x = 201,084,083,776
  5. Step 5: Solve for x
    x = 201,084,083,776/289,607
  6. Step 6: Final answer
    x = 694,334.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.