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Finding the Third Proportional to 465,969 and 715,990.50

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Solution

The third proportional to 465,969 and 715,990.50 is: 1,100,164.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,969 : 715,990.50 = 715,990.50 : x
  2. Step 2: Convert to fraction form
    465,969/715,990.50 = 715,990.50/x
  3. Step 3: Cross multiply
    465,969x = 715,990.50 × 715,990.50
  4. Step 4: Simplify right side
    465,969x = 512,642,396,090.25
  5. Step 5: Solve for x
    x = 512,642,396,090.25/465,969
  6. Step 6: Final answer
    x = 1,100,164.17

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.