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Finding the Third Proportional to 492,777 and 712,098

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Solution

The third proportional to 492,777 and 712,098 is: 1,029,032.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,777 : 712,098 = 712,098 : x
  2. Step 2: Convert to fraction form
    492,777/712,098 = 712,098/x
  3. Step 3: Cross multiply
    492,777x = 712,098 × 712,098
  4. Step 4: Simplify right side
    492,777x = 507,083,561,604
  5. Step 5: Solve for x
    x = 507,083,561,604/492,777
  6. Step 6: Final answer
    x = 1,029,032.53

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.