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Finding the Third Proportional to 415,803.38 and 594,180.56

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Solution

The third proportional to 415,803.38 and 594,180.56 is: 849,080.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,803.38 : 594,180.56 = 594,180.56 : x
  2. Step 2: Convert to fraction form
    415,803.38/594,180.56 = 594,180.56/x
  3. Step 3: Cross multiply
    415,803.38x = 594,180.56 × 594,180.56
  4. Step 4: Simplify right side
    415,803.38x = 353,050,540,852.82
  5. Step 5: Solve for x
    x = 353,050,540,852.82/415,803.38
  6. Step 6: Final answer
    x = 849,080.51

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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.