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Finding the Third Proportional to 446,922 and 625,158

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Solution

The third proportional to 446,922 and 625,158 is: 874,475.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,922 : 625,158 = 625,158 : x
  2. Step 2: Convert to fraction form
    446,922/625,158 = 625,158/x
  3. Step 3: Cross multiply
    446,922x = 625,158 × 625,158
  4. Step 4: Simplify right side
    446,922x = 390,822,524,964
  5. Step 5: Solve for x
    x = 390,822,524,964/446,922
  6. Step 6: Final answer
    x = 874,475.92

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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.