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Finding the Third Proportional to 374,233.50 and 802,048.50

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Solution

The third proportional to 374,233.50 and 802,048.50 is: 1,718,931.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,233.50 : 802,048.50 = 802,048.50 : x
  2. Step 2: Convert to fraction form
    374,233.50/802,048.50 = 802,048.50/x
  3. Step 3: Cross multiply
    374,233.50x = 802,048.50 × 802,048.50
  4. Step 4: Simplify right side
    374,233.50x = 643,281,796,352.25
  5. Step 5: Solve for x
    x = 643,281,796,352.25/374,233.50
  6. Step 6: Final answer
    x = 1,718,931.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.