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Finding the Third Proportional to 332,140.59 and 515,706.89

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Solution

The third proportional to 332,140.59 and 515,706.89 is: 800,725.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,140.59 : 515,706.89 = 515,706.89 : x
  2. Step 2: Convert to fraction form
    332,140.59/515,706.89 = 515,706.89/x
  3. Step 3: Cross multiply
    332,140.59x = 515,706.89 × 515,706.89
  4. Step 4: Simplify right side
    332,140.59x = 265,953,597,038.11
  5. Step 5: Solve for x
    x = 265,953,597,038.11/332,140.59
  6. Step 6: Final answer
    x = 800,725.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.