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Finding the Third Proportional to 308,943 and 721,777.50

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Solution

The third proportional to 308,943 and 721,777.50 is: 1,686,274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,943 : 721,777.50 = 721,777.50 : x
  2. Step 2: Convert to fraction form
    308,943/721,777.50 = 721,777.50/x
  3. Step 3: Cross multiply
    308,943x = 721,777.50 × 721,777.50
  4. Step 4: Simplify right side
    308,943x = 520,962,759,506.25
  5. Step 5: Solve for x
    x = 520,962,759,506.25/308,943
  6. Step 6: Final answer
    x = 1,686,274.68

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.