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Finding the Third Proportional to 308,002.50 and 715,574.25

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Solution

The third proportional to 308,002.50 and 715,574.25 is: 1,662,475.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,002.50 : 715,574.25 = 715,574.25 : x
  2. Step 2: Convert to fraction form
    308,002.50/715,574.25 = 715,574.25/x
  3. Step 3: Cross multiply
    308,002.50x = 715,574.25 × 715,574.25
  4. Step 4: Simplify right side
    308,002.50x = 512,046,507,263.06
  5. Step 5: Solve for x
    x = 512,046,507,263.06/308,002.50
  6. Step 6: Final answer
    x = 1,662,475.17

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.