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Finding the Third Proportional to 408,851 and 572,925

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Solution

The third proportional to 408,851 and 572,925 is: 802,842.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,851 : 572,925 = 572,925 : x
  2. Step 2: Convert to fraction form
    408,851/572,925 = 572,925/x
  3. Step 3: Cross multiply
    408,851x = 572,925 × 572,925
  4. Step 4: Simplify right side
    408,851x = 328,243,055,625
  5. Step 5: Solve for x
    x = 328,243,055,625/408,851
  6. Step 6: Final answer
    x = 802,842.74

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.