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Finding the Third Proportional to 408,226 and 875,502

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Solution

The third proportional to 408,226 and 875,502 is: 1,877,645.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,226 : 875,502 = 875,502 : x
  2. Step 2: Convert to fraction form
    408,226/875,502 = 875,502/x
  3. Step 3: Cross multiply
    408,226x = 875,502 × 875,502
  4. Step 4: Simplify right side
    408,226x = 766,503,752,004
  5. Step 5: Solve for x
    x = 766,503,752,004/408,226
  6. Step 6: Final answer
    x = 1,877,645.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.