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Finding the Third Proportional to 365,634 and 583,868.25

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Solution

The third proportional to 365,634 and 583,868.25 is: 932,358.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,634 : 583,868.25 = 583,868.25 : x
  2. Step 2: Convert to fraction form
    365,634/583,868.25 = 583,868.25/x
  3. Step 3: Cross multiply
    365,634x = 583,868.25 × 583,868.25
  4. Step 4: Simplify right side
    365,634x = 340,902,133,358.06
  5. Step 5: Solve for x
    x = 340,902,133,358.06/365,634
  6. Step 6: Final answer
    x = 932,358.95

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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.