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Finding the Third Proportional to 446,969 and 573,904

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Solution

The third proportional to 446,969 and 573,904 is: 736,887.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,969 : 573,904 = 573,904 : x
  2. Step 2: Convert to fraction form
    446,969/573,904 = 573,904/x
  3. Step 3: Cross multiply
    446,969x = 573,904 × 573,904
  4. Step 4: Simplify right side
    446,969x = 329,365,801,216
  5. Step 5: Solve for x
    x = 329,365,801,216/446,969
  6. Step 6: Final answer
    x = 736,887.35

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.