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Finding the Third Proportional to 374,811 and 579,732

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Solution

The third proportional to 374,811 and 579,732 is: 896,689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,811 : 579,732 = 579,732 : x
  2. Step 2: Convert to fraction form
    374,811/579,732 = 579,732/x
  3. Step 3: Cross multiply
    374,811x = 579,732 × 579,732
  4. Step 4: Simplify right side
    374,811x = 336,089,191,824
  5. Step 5: Solve for x
    x = 336,089,191,824/374,811
  6. Step 6: Final answer
    x = 896,689.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.