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Finding the Third Proportional to 415,432 and 594,079

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Solution

The third proportional to 415,432 and 594,079 is: 849,549.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,432 : 594,079 = 594,079 : x
  2. Step 2: Convert to fraction form
    415,432/594,079 = 594,079/x
  3. Step 3: Cross multiply
    415,432x = 594,079 × 594,079
  4. Step 4: Simplify right side
    415,432x = 352,929,858,241
  5. Step 5: Solve for x
    x = 352,929,858,241/415,432
  6. Step 6: Final answer
    x = 849,549.04

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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.