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Finding the Third Proportional to 306,708 and 465,580

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Solution

The third proportional to 306,708 and 465,580 is: 706,746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,708 : 465,580 = 465,580 : x
  2. Step 2: Convert to fraction form
    306,708/465,580 = 465,580/x
  3. Step 3: Cross multiply
    306,708x = 465,580 × 465,580
  4. Step 4: Simplify right side
    306,708x = 216,764,736,400
  5. Step 5: Solve for x
    x = 216,764,736,400/306,708
  6. Step 6: Final answer
    x = 706,746.27

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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.