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Finding the Third Proportional to 446,292 and 624,222

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Solution

The third proportional to 446,292 and 624,222 is: 873,090.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,292 : 624,222 = 624,222 : x
  2. Step 2: Convert to fraction form
    446,292/624,222 = 624,222/x
  3. Step 3: Cross multiply
    446,292x = 624,222 × 624,222
  4. Step 4: Simplify right side
    446,292x = 389,653,105,284
  5. Step 5: Solve for x
    x = 389,653,105,284/446,292
  6. Step 6: Final answer
    x = 873,090.05

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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.