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Finding the Third Proportional to 347,601 and 465,565

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Solution

The third proportional to 347,601 and 465,565 is: 623,561.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,601 : 465,565 = 465,565 : x
  2. Step 2: Convert to fraction form
    347,601/465,565 = 465,565/x
  3. Step 3: Cross multiply
    347,601x = 465,565 × 465,565
  4. Step 4: Simplify right side
    347,601x = 216,750,769,225
  5. Step 5: Solve for x
    x = 216,750,769,225/347,601
  6. Step 6: Final answer
    x = 623,561.98

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.