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Finding the Third Proportional to 365,481 and 583,213.50

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Solution

The third proportional to 365,481 and 583,213.50 is: 930,658.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,481 : 583,213.50 = 583,213.50 : x
  2. Step 2: Convert to fraction form
    365,481/583,213.50 = 583,213.50/x
  3. Step 3: Cross multiply
    365,481x = 583,213.50 × 583,213.50
  4. Step 4: Simplify right side
    365,481x = 340,137,986,582.25
  5. Step 5: Solve for x
    x = 340,137,986,582.25/365,481
  6. Step 6: Final answer
    x = 930,658.47

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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.