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Finding the Third Proportional to 415,382 and 594,004

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Solution

The third proportional to 415,382 and 594,004 is: 849,436.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,382 : 594,004 = 594,004 : x
  2. Step 2: Convert to fraction form
    415,382/594,004 = 594,004/x
  3. Step 3: Cross multiply
    415,382x = 594,004 × 594,004
  4. Step 4: Simplify right side
    415,382x = 352,840,752,016
  5. Step 5: Solve for x
    x = 352,840,752,016/415,382
  6. Step 6: Final answer
    x = 849,436.79

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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.