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Finding the Third Proportional to 415,974.47 and 594,437.20

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Solution

The third proportional to 415,974.47 and 594,437.20 is: 849,464.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,974.47 : 594,437.20 = 594,437.20 : x
  2. Step 2: Convert to fraction form
    415,974.47/594,437.20 = 594,437.20/x
  3. Step 3: Cross multiply
    415,974.47x = 594,437.20 × 594,437.20
  4. Step 4: Simplify right side
    415,974.47x = 353,355,588,459.07
  5. Step 5: Solve for x
    x = 353,355,588,459.07/415,974.47
  6. Step 6: Final answer
    x = 849,464.61

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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.