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Finding the Third Proportional to 364,128.75 and 807,840

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Solution

The third proportional to 364,128.75 and 807,840 is: 1,792,238.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,128.75 : 807,840 = 807,840 : x
  2. Step 2: Convert to fraction form
    364,128.75/807,840 = 807,840/x
  3. Step 3: Cross multiply
    364,128.75x = 807,840 × 807,840
  4. Step 4: Simplify right side
    364,128.75x = 652,605,465,600
  5. Step 5: Solve for x
    x = 652,605,465,600/364,128.75
  6. Step 6: Final answer
    x = 1,792,238.23

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.