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Finding the Third Proportional to 446,914 and 625,145

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Solution

The third proportional to 446,914 and 625,145 is: 874,455.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,914 : 625,145 = 625,145 : x
  2. Step 2: Convert to fraction form
    446,914/625,145 = 625,145/x
  3. Step 3: Cross multiply
    446,914x = 625,145 × 625,145
  4. Step 4: Simplify right side
    446,914x = 390,806,271,025
  5. Step 5: Solve for x
    x = 390,806,271,025/446,914
  6. Step 6: Final answer
    x = 874,455.20

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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.