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Finding the Third Proportional to 421,180.37 and 602,292.91

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Solution

The third proportional to 421,180.37 and 602,292.91 is: 861,285.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,180.37 : 602,292.91 = 602,292.91 : x
  2. Step 2: Convert to fraction form
    421,180.37/602,292.91 = 602,292.91/x
  3. Step 3: Cross multiply
    421,180.37x = 602,292.91 × 602,292.91
  4. Step 4: Simplify right side
    421,180.37x = 362,756,752,124.28
  5. Step 5: Solve for x
    x = 362,756,752,124.28/421,180.37
  6. Step 6: Final answer
    x = 861,285.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.