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Finding the Third Proportional to 332,453 and 712,534

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Solution

The third proportional to 332,453 and 712,534 is: 1,527,147.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,453 : 712,534 = 712,534 : x
  2. Step 2: Convert to fraction form
    332,453/712,534 = 712,534/x
  3. Step 3: Cross multiply
    332,453x = 712,534 × 712,534
  4. Step 4: Simplify right side
    332,453x = 507,704,701,156
  5. Step 5: Solve for x
    x = 507,704,701,156/332,453
  6. Step 6: Final answer
    x = 1,527,147.30

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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.