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Finding the Third Proportional to 545,793.75 and 829,706.63

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Solution

The third proportional to 545,793.75 and 829,706.63 is: 1,261,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,793.75 : 829,706.63 = 829,706.63 : x
  2. Step 2: Convert to fraction form
    545,793.75/829,706.63 = 829,706.63/x
  3. Step 3: Cross multiply
    545,793.75x = 829,706.63 × 829,706.63
  4. Step 4: Simplify right side
    545,793.75x = 688,413,083,568.89
  5. Step 5: Solve for x
    x = 688,413,083,568.89/545,793.75
  6. Step 6: Final answer
    x = 1,261,306.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.