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Finding the Third Proportional to 332,400 and 712,032

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Solution

The third proportional to 332,400 and 712,032 is: 1,525,239.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,400 : 712,032 = 712,032 : x
  2. Step 2: Convert to fraction form
    332,400/712,032 = 712,032/x
  3. Step 3: Cross multiply
    332,400x = 712,032 × 712,032
  4. Step 4: Simplify right side
    332,400x = 506,989,569,024
  5. Step 5: Solve for x
    x = 506,989,569,024/332,400
  6. Step 6: Final answer
    x = 1,525,239.38

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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.