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Finding the Third Proportional to 446,188 and 654,402

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Solution

The third proportional to 446,188 and 654,402 is: 959,779.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,188 : 654,402 = 654,402 : x
  2. Step 2: Convert to fraction form
    446,188/654,402 = 654,402/x
  3. Step 3: Cross multiply
    446,188x = 654,402 × 654,402
  4. Step 4: Simplify right side
    446,188x = 428,241,977,604
  5. Step 5: Solve for x
    x = 428,241,977,604/446,188
  6. Step 6: Final answer
    x = 959,779.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.