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Finding the Third Proportional to 446,908 and 625,136

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Solution

The third proportional to 446,908 and 625,136 is: 874,441.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,908 : 625,136 = 625,136 : x
  2. Step 2: Convert to fraction form
    446,908/625,136 = 625,136/x
  3. Step 3: Cross multiply
    446,908x = 625,136 × 625,136
  4. Step 4: Simplify right side
    446,908x = 390,795,018,496
  5. Step 5: Solve for x
    x = 390,795,018,496/446,908
  6. Step 6: Final answer
    x = 874,441.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.