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Finding the Third Proportional to 306,712 and 465,586

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Solution

The third proportional to 306,712 and 465,586 is: 706,755.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,712 : 465,586 = 465,586 : x
  2. Step 2: Convert to fraction form
    306,712/465,586 = 465,586/x
  3. Step 3: Cross multiply
    306,712x = 465,586 × 465,586
  4. Step 4: Simplify right side
    306,712x = 216,770,323,396
  5. Step 5: Solve for x
    x = 216,770,323,396/306,712
  6. Step 6: Final answer
    x = 706,755.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.