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Finding the Third Proportional to 332,505 and 712,269

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Solution

The third proportional to 332,505 and 712,269 is: 1,525,772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,505 : 712,269 = 712,269 : x
  2. Step 2: Convert to fraction form
    332,505/712,269 = 712,269/x
  3. Step 3: Cross multiply
    332,505x = 712,269 × 712,269
  4. Step 4: Simplify right side
    332,505x = 507,327,128,361
  5. Step 5: Solve for x
    x = 507,327,128,361/332,505
  6. Step 6: Final answer
    x = 1,525,772.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.