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Finding the Third Proportional to 369,284 and 602,950

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Solution

The third proportional to 369,284 and 602,950 is: 984,469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,284 : 602,950 = 602,950 : x
  2. Step 2: Convert to fraction form
    369,284/602,950 = 602,950/x
  3. Step 3: Cross multiply
    369,284x = 602,950 × 602,950
  4. Step 4: Simplify right side
    369,284x = 363,548,702,500
  5. Step 5: Solve for x
    x = 363,548,702,500/369,284
  6. Step 6: Final answer
    x = 984,469.14

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.