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Finding the Third Proportional to 374,125.50 and 774,859.50

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Solution

The third proportional to 374,125.50 and 774,859.50 is: 1,604,828.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,125.50 : 774,859.50 = 774,859.50 : x
  2. Step 2: Convert to fraction form
    374,125.50/774,859.50 = 774,859.50/x
  3. Step 3: Cross multiply
    374,125.50x = 774,859.50 × 774,859.50
  4. Step 4: Simplify right side
    374,125.50x = 600,407,244,740.25
  5. Step 5: Solve for x
    x = 600,407,244,740.25/374,125.50
  6. Step 6: Final answer
    x = 1,604,828.45

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.