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Finding the Third Proportional to 365,654 and 583,901

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Solution

The third proportional to 365,654 and 583,901 is: 932,412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,654 : 583,901 = 583,901 : x
  2. Step 2: Convert to fraction form
    365,654/583,901 = 583,901/x
  3. Step 3: Cross multiply
    365,654x = 583,901 × 583,901
  4. Step 4: Simplify right side
    365,654x = 340,940,377,801
  5. Step 5: Solve for x
    x = 340,940,377,801/365,654
  6. Step 6: Final answer
    x = 932,412.55

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.