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Finding the Third Proportional to 332,005 and 712,396

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Solution

The third proportional to 332,005 and 712,396 is: 1,528,615.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,005 : 712,396 = 712,396 : x
  2. Step 2: Convert to fraction form
    332,005/712,396 = 712,396/x
  3. Step 3: Cross multiply
    332,005x = 712,396 × 712,396
  4. Step 4: Simplify right side
    332,005x = 507,508,060,816
  5. Step 5: Solve for x
    x = 507,508,060,816/332,005
  6. Step 6: Final answer
    x = 1,528,615.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.