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Finding the Third Proportional to 296,985 and 393,805.50

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Solution

The third proportional to 296,985 and 393,805.50 is: 522,190.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,985 : 393,805.50 = 393,805.50 : x
  2. Step 2: Convert to fraction form
    296,985/393,805.50 = 393,805.50/x
  3. Step 3: Cross multiply
    296,985x = 393,805.50 × 393,805.50
  4. Step 4: Simplify right side
    296,985x = 155,082,771,830.25
  5. Step 5: Solve for x
    x = 155,082,771,830.25/296,985
  6. Step 6: Final answer
    x = 522,190.59

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.