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Finding the Third Proportional to 446,231 and 679,804

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Solution

The third proportional to 446,231 and 679,804 is: 1,035,637.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,231 : 679,804 = 679,804 : x
  2. Step 2: Convert to fraction form
    446,231/679,804 = 679,804/x
  3. Step 3: Cross multiply
    446,231x = 679,804 × 679,804
  4. Step 4: Simplify right side
    446,231x = 462,133,478,416
  5. Step 5: Solve for x
    x = 462,133,478,416/446,231
  6. Step 6: Final answer
    x = 1,035,637.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.